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Simplifying 4(x + -2) + -3x = 2(x + -3) + -8 Reorder the terms: 4(-2 + x) + -3x = 2(x + -3) + -8 (-2 * 4 + x * 4) + -3x = 2(x + -3) + -8 (-8 + 4x) + -3x = 2(x + -3) + -8 Combine like terms: 4x + -3x = 1x -8 + 1x = 2(x + -3) + -8 Reorder the terms: -8 + 1x = 2(-3 + x) + -8 -8 + 1x = (-3 * 2 + x * 2) + -8 -8 + 1x = (-6 + 2x) + -8 Reorder the terms: -8 + 1x = -6 + -8 + 2x Combine like terms: -6 + -8 = -14 -8 + 1x = -14 + 2x Solving -8 + 1x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 1x + -2x = -14 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = -14 + 0 -8 + -1x = -14 Add '8' to each side of the equation. -8 + 8 + -1x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -14 + 8 -1x = -14 + 8 Combine like terms: -14 + 8 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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