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Simplifying 4(x + -3) + -3(x + -2) = 2x + 8 Reorder the terms: 4(-3 + x) + -3(x + -2) = 2x + 8 (-3 * 4 + x * 4) + -3(x + -2) = 2x + 8 (-12 + 4x) + -3(x + -2) = 2x + 8 Reorder the terms: -12 + 4x + -3(-2 + x) = 2x + 8 -12 + 4x + (-2 * -3 + x * -3) = 2x + 8 -12 + 4x + (6 + -3x) = 2x + 8 Reorder the terms: -12 + 6 + 4x + -3x = 2x + 8 Combine like terms: -12 + 6 = -6 -6 + 4x + -3x = 2x + 8 Combine like terms: 4x + -3x = 1x -6 + 1x = 2x + 8 Reorder the terms: -6 + 1x = 8 + 2x Solving -6 + 1x = 8 + 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. -6 + 1x + -2x = 8 + 2x + -2x Combine like terms: 1x + -2x = -1x -6 + -1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = 8 + 0 -6 + -1x = 8 Add '6' to each side of the equation. -6 + 6 + -1x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 8 + 6 -1x = 8 + 6 Combine like terms: 8 + 6 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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