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Simplifying 5 + -4(x + 1) = 2(4x + -3) Reorder the terms: 5 + -4(1 + x) = 2(4x + -3) 5 + (1 * -4 + x * -4) = 2(4x + -3) 5 + (-4 + -4x) = 2(4x + -3) Combine like terms: 5 + -4 = 1 1 + -4x = 2(4x + -3) Reorder the terms: 1 + -4x = 2(-3 + 4x) 1 + -4x = (-3 * 2 + 4x * 2) 1 + -4x = (-6 + 8x) Solving 1 + -4x = -6 + 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. 1 + -4x + -8x = -6 + 8x + -8x Combine like terms: -4x + -8x = -12x 1 + -12x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -12x = -6 + 0 1 + -12x = -6 Add '-1' to each side of the equation. 1 + -1 + -12x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -6 + -1 -12x = -6 + -1 Combine like terms: -6 + -1 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333
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