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Simplifying 70 = (3x + -12) + (2x + 3) + (2x + -10) + (x + 1) + 3x Reorder the terms: 70 = (-12 + 3x) + (2x + 3) + (2x + -10) + (x + 1) + 3x Remove parenthesis around (-12 + 3x) 70 = -12 + 3x + (2x + 3) + (2x + -10) + (x + 1) + 3x Reorder the terms: 70 = -12 + 3x + (3 + 2x) + (2x + -10) + (x + 1) + 3x Remove parenthesis around (3 + 2x) 70 = -12 + 3x + 3 + 2x + (2x + -10) + (x + 1) + 3x Reorder the terms: 70 = -12 + 3x + 3 + 2x + (-10 + 2x) + (x + 1) + 3x Remove parenthesis around (-10 + 2x) 70 = -12 + 3x + 3 + 2x + -10 + 2x + (x + 1) + 3x Reorder the terms: 70 = -12 + 3x + 3 + 2x + -10 + 2x + (1 + x) + 3x Remove parenthesis around (1 + x) 70 = -12 + 3x + 3 + 2x + -10 + 2x + 1 + x + 3x Reorder the terms: 70 = -12 + 3 + -10 + 1 + 3x + 2x + 2x + x + 3x Combine like terms: -12 + 3 = -9 70 = -9 + -10 + 1 + 3x + 2x + 2x + x + 3x Combine like terms: -9 + -10 = -19 70 = -19 + 1 + 3x + 2x + 2x + x + 3x Combine like terms: -19 + 1 = -18 70 = -18 + 3x + 2x + 2x + x + 3x Combine like terms: 3x + 2x = 5x 70 = -18 + 5x + 2x + x + 3x Combine like terms: 5x + 2x = 7x 70 = -18 + 7x + x + 3x Combine like terms: 7x + x = 8x 70 = -18 + 8x + 3x Combine like terms: 8x + 3x = 11x 70 = -18 + 11x Solving 70 = -18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 70 + -11x = -18 + 11x + -11x Combine like terms: 11x + -11x = 0 70 + -11x = -18 + 0 70 + -11x = -18 Add '-70' to each side of the equation. 70 + -70 + -11x = -18 + -70 Combine like terms: 70 + -70 = 0 0 + -11x = -18 + -70 -11x = -18 + -70 Combine like terms: -18 + -70 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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