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Simplifying 4(2x + -12) = 2(x + -5)(3) Reorder the terms: 4(-12 + 2x) = 2(x + -5)(3) (-12 * 4 + 2x * 4) = 2(x + -5)(3) (-48 + 8x) = 2(x + -5)(3) Reorder the terms: -48 + 8x = 2(-5 + x)(3) Reorder the terms for easier multiplication: -48 + 8x = 2 * 3(-5 + x) Multiply 2 * 3 -48 + 8x = 6(-5 + x) -48 + 8x = (-5 * 6 + x * 6) -48 + 8x = (-30 + 6x) Solving -48 + 8x = -30 + 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. -48 + 8x + -6x = -30 + 6x + -6x Combine like terms: 8x + -6x = 2x -48 + 2x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 2x = -30 + 0 -48 + 2x = -30 Add '48' to each side of the equation. -48 + 48 + 2x = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 2x = -30 + 48 2x = -30 + 48 Combine like terms: -30 + 48 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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