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Simplifying -3(x + -4) = 8(2x + -3) Reorder the terms: -3(-4 + x) = 8(2x + -3) (-4 * -3 + x * -3) = 8(2x + -3) (12 + -3x) = 8(2x + -3) Reorder the terms: 12 + -3x = 8(-3 + 2x) 12 + -3x = (-3 * 8 + 2x * 8) 12 + -3x = (-24 + 16x) Solving 12 + -3x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + -3x + -16x = -24 + 16x + -16x Combine like terms: -3x + -16x = -19x 12 + -19x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -19x = -24 + 0 12 + -19x = -24 Add '-12' to each side of the equation. 12 + -12 + -19x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -19x = -24 + -12 -19x = -24 + -12 Combine like terms: -24 + -12 = -36 -19x = -36 Divide each side by '-19'. x = 1.894736842 Simplifying x = 1.894736842
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