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Simplifying 3x + -2(x + 4) = 5(x + 1) + 3 Reorder the terms: 3x + -2(4 + x) = 5(x + 1) + 3 3x + (4 * -2 + x * -2) = 5(x + 1) + 3 3x + (-8 + -2x) = 5(x + 1) + 3 Reorder the terms: -8 + 3x + -2x = 5(x + 1) + 3 Combine like terms: 3x + -2x = 1x -8 + 1x = 5(x + 1) + 3 Reorder the terms: -8 + 1x = 5(1 + x) + 3 -8 + 1x = (1 * 5 + x * 5) + 3 -8 + 1x = (5 + 5x) + 3 Reorder the terms: -8 + 1x = 5 + 3 + 5x Combine like terms: 5 + 3 = 8 -8 + 1x = 8 + 5x Solving -8 + 1x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 1x + -5x = 8 + 5x + -5x Combine like terms: 1x + -5x = -4x -8 + -4x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = 8 + 0 -8 + -4x = 8 Add '8' to each side of the equation. -8 + 8 + -4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 8 + 8 -4x = 8 + 8 Combine like terms: 8 + 8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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