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Simplifying 4x + -3(x + -2) = 2(x + 4) + 3x + 7 Reorder the terms: 4x + -3(-2 + x) = 2(x + 4) + 3x + 7 4x + (-2 * -3 + x * -3) = 2(x + 4) + 3x + 7 4x + (6 + -3x) = 2(x + 4) + 3x + 7 Reorder the terms: 6 + 4x + -3x = 2(x + 4) + 3x + 7 Combine like terms: 4x + -3x = 1x 6 + 1x = 2(x + 4) + 3x + 7 Reorder the terms: 6 + 1x = 2(4 + x) + 3x + 7 6 + 1x = (4 * 2 + x * 2) + 3x + 7 6 + 1x = (8 + 2x) + 3x + 7 Reorder the terms: 6 + 1x = 8 + 7 + 2x + 3x Combine like terms: 8 + 7 = 15 6 + 1x = 15 + 2x + 3x Combine like terms: 2x + 3x = 5x 6 + 1x = 15 + 5x Solving 6 + 1x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 1x + -5x = 15 + 5x + -5x Combine like terms: 1x + -5x = -4x 6 + -4x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -4x = 15 + 0 6 + -4x = 15 Add '-6' to each side of the equation. 6 + -6 + -4x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 15 + -6 -4x = 15 + -6 Combine like terms: 15 + -6 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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