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Simplifying 2(x + 1) + -3x = 7(x + -2) + 3 Reorder the terms: 2(1 + x) + -3x = 7(x + -2) + 3 (1 * 2 + x * 2) + -3x = 7(x + -2) + 3 (2 + 2x) + -3x = 7(x + -2) + 3 Combine like terms: 2x + -3x = -1x 2 + -1x = 7(x + -2) + 3 Reorder the terms: 2 + -1x = 7(-2 + x) + 3 2 + -1x = (-2 * 7 + x * 7) + 3 2 + -1x = (-14 + 7x) + 3 Reorder the terms: 2 + -1x = -14 + 3 + 7x Combine like terms: -14 + 3 = -11 2 + -1x = -11 + 7x Solving 2 + -1x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -1x + -7x = -11 + 7x + -7x Combine like terms: -1x + -7x = -8x 2 + -8x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -8x = -11 + 0 2 + -8x = -11 Add '-2' to each side of the equation. 2 + -2 + -8x = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -11 + -2 -8x = -11 + -2 Combine like terms: -11 + -2 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625
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