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Simplifying 4(2x + -3) + -4 = 3(2x + -6) Reorder the terms: 4(-3 + 2x) + -4 = 3(2x + -6) (-3 * 4 + 2x * 4) + -4 = 3(2x + -6) (-12 + 8x) + -4 = 3(2x + -6) Reorder the terms: -12 + -4 + 8x = 3(2x + -6) Combine like terms: -12 + -4 = -16 -16 + 8x = 3(2x + -6) Reorder the terms: -16 + 8x = 3(-6 + 2x) -16 + 8x = (-6 * 3 + 2x * 3) -16 + 8x = (-18 + 6x) Solving -16 + 8x = -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. -16 + 8x + -6x = -18 + 6x + -6x Combine like terms: 8x + -6x = 2x -16 + 2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 2x = -18 + 0 -16 + 2x = -18 Add '16' to each side of the equation. -16 + 16 + 2x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -18 + 16 2x = -18 + 16 Combine like terms: -18 + 16 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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