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Simplifying 3(2x + 8) = 4(4x + -3) Reorder the terms: 3(8 + 2x) = 4(4x + -3) (8 * 3 + 2x * 3) = 4(4x + -3) (24 + 6x) = 4(4x + -3) Reorder the terms: 24 + 6x = 4(-3 + 4x) 24 + 6x = (-3 * 4 + 4x * 4) 24 + 6x = (-12 + 16x) Solving 24 + 6x = -12 + 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. 24 + 6x + -16x = -12 + 16x + -16x Combine like terms: 6x + -16x = -10x 24 + -10x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -10x = -12 + 0 24 + -10x = -12 Add '-24' to each side of the equation. 24 + -24 + -10x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -12 + -24 -10x = -12 + -24 Combine like terms: -12 + -24 = -36 -10x = -36 Divide each side by '-10'. x = 3.6 Simplifying x = 3.6
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