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Simplifying 3(x + 1) + -2x + 6 = 4(x + -2) + 5 Reorder the terms: 3(1 + x) + -2x + 6 = 4(x + -2) + 5 (1 * 3 + x * 3) + -2x + 6 = 4(x + -2) + 5 (3 + 3x) + -2x + 6 = 4(x + -2) + 5 Reorder the terms: 3 + 6 + 3x + -2x = 4(x + -2) + 5 Combine like terms: 3 + 6 = 9 9 + 3x + -2x = 4(x + -2) + 5 Combine like terms: 3x + -2x = 1x 9 + 1x = 4(x + -2) + 5 Reorder the terms: 9 + 1x = 4(-2 + x) + 5 9 + 1x = (-2 * 4 + x * 4) + 5 9 + 1x = (-8 + 4x) + 5 Reorder the terms: 9 + 1x = -8 + 5 + 4x Combine like terms: -8 + 5 = -3 9 + 1x = -3 + 4x Solving 9 + 1x = -3 + 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. 9 + 1x + -4x = -3 + 4x + -4x Combine like terms: 1x + -4x = -3x 9 + -3x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -3x = -3 + 0 9 + -3x = -3 Add '-9' to each side of the equation. 9 + -9 + -3x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -3 + -9 -3x = -3 + -9 Combine like terms: -3 + -9 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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