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Simplifying 4(x + -3) = 3(2x + 6) Reorder the terms: 4(-3 + x) = 3(2x + 6) (-3 * 4 + x * 4) = 3(2x + 6) (-12 + 4x) = 3(2x + 6) Reorder the terms: -12 + 4x = 3(6 + 2x) -12 + 4x = (6 * 3 + 2x * 3) -12 + 4x = (18 + 6x) Solving -12 + 4x = 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. -12 + 4x + -6x = 18 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = 18 + 0 -12 + -2x = 18 Add '12' to each side of the equation. -12 + 12 + -2x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 18 + 12 -2x = 18 + 12 Combine like terms: 18 + 12 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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