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Simplifying 2(x + -3) + 3(x + -4) = 6(x + 3) Reorder the terms: 2(-3 + x) + 3(x + -4) = 6(x + 3) (-3 * 2 + x * 2) + 3(x + -4) = 6(x + 3) (-6 + 2x) + 3(x + -4) = 6(x + 3) Reorder the terms: -6 + 2x + 3(-4 + x) = 6(x + 3) -6 + 2x + (-4 * 3 + x * 3) = 6(x + 3) -6 + 2x + (-12 + 3x) = 6(x + 3) Reorder the terms: -6 + -12 + 2x + 3x = 6(x + 3) Combine like terms: -6 + -12 = -18 -18 + 2x + 3x = 6(x + 3) Combine like terms: 2x + 3x = 5x -18 + 5x = 6(x + 3) Reorder the terms: -18 + 5x = 6(3 + x) -18 + 5x = (3 * 6 + x * 6) -18 + 5x = (18 + 6x) Solving -18 + 5x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 5x + -6x = 18 + 6x + -6x Combine like terms: 5x + -6x = -1x -18 + -1x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -1x = 18 + 0 -18 + -1x = 18 Add '18' to each side of the equation. -18 + 18 + -1x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 18 + 18 -1x = 18 + 18 Combine like terms: 18 + 18 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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