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Simplifying 4(x + 1) = 4(2x + -3) Reorder the terms: 4(1 + x) = 4(2x + -3) (1 * 4 + x * 4) = 4(2x + -3) (4 + 4x) = 4(2x + -3) Reorder the terms: 4 + 4x = 4(-3 + 2x) 4 + 4x = (-3 * 4 + 2x * 4) 4 + 4x = (-12 + 8x) Solving 4 + 4x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 4x + -8x = -12 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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