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Simplifying 6(x + 8) = 4(3x + -12) Reorder the terms: 6(8 + x) = 4(3x + -12) (8 * 6 + x * 6) = 4(3x + -12) (48 + 6x) = 4(3x + -12) Reorder the terms: 48 + 6x = 4(-12 + 3x) 48 + 6x = (-12 * 4 + 3x * 4) 48 + 6x = (-48 + 12x) Solving 48 + 6x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 48 + 6x + -12x = -48 + 12x + -12x Combine like terms: 6x + -12x = -6x 48 + -6x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 48 + -6x = -48 + 0 48 + -6x = -48 Add '-48' to each side of the equation. 48 + -48 + -6x = -48 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = -48 + -48 -6x = -48 + -48 Combine like terms: -48 + -48 = -96 -6x = -96 Divide each side by '-6'. x = 16 Simplifying x = 16
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