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Simplifying 4(x + 1) = 8(2x + -3) Reorder the terms: 4(1 + x) = 8(2x + -3) (1 * 4 + x * 4) = 8(2x + -3) (4 + 4x) = 8(2x + -3) Reorder the terms: 4 + 4x = 8(-3 + 2x) 4 + 4x = (-3 * 8 + 2x * 8) 4 + 4x = (-24 + 16x) Solving 4 + 4x = -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. 4 + 4x + -16x = -24 + 16x + -16x Combine like terms: 4x + -16x = -12x 4 + -12x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 4 + -12x = -24 + 0 4 + -12x = -24 Add '-4' to each side of the equation. 4 + -4 + -12x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -24 + -4 -12x = -24 + -4 Combine like terms: -24 + -4 = -28 -12x = -28 Divide each side by '-12'. x = 2.333333333 Simplifying x = 2.333333333
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