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Simplifying 2(5x + 2) + -3x = 4(x + -3) + -2 Reorder the terms: 2(2 + 5x) + -3x = 4(x + -3) + -2 (2 * 2 + 5x * 2) + -3x = 4(x + -3) + -2 (4 + 10x) + -3x = 4(x + -3) + -2 Combine like terms: 10x + -3x = 7x 4 + 7x = 4(x + -3) + -2 Reorder the terms: 4 + 7x = 4(-3 + x) + -2 4 + 7x = (-3 * 4 + x * 4) + -2 4 + 7x = (-12 + 4x) + -2 Reorder the terms: 4 + 7x = -12 + -2 + 4x Combine like terms: -12 + -2 = -14 4 + 7x = -14 + 4x Solving 4 + 7x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 7x + -4x = -14 + 4x + -4x Combine like terms: 7x + -4x = 3x 4 + 3x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 3x = -14 + 0 4 + 3x = -14 Add '-4' to each side of the equation. 4 + -4 + 3x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -14 + -4 3x = -14 + -4 Combine like terms: -14 + -4 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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