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Simplifying 4x + -2(x + 1) = 5(x + 3) + 5 Reorder the terms: 4x + -2(1 + x) = 5(x + 3) + 5 4x + (1 * -2 + x * -2) = 5(x + 3) + 5 4x + (-2 + -2x) = 5(x + 3) + 5 Reorder the terms: -2 + 4x + -2x = 5(x + 3) + 5 Combine like terms: 4x + -2x = 2x -2 + 2x = 5(x + 3) + 5 Reorder the terms: -2 + 2x = 5(3 + x) + 5 -2 + 2x = (3 * 5 + x * 5) + 5 -2 + 2x = (15 + 5x) + 5 Reorder the terms: -2 + 2x = 15 + 5 + 5x Combine like terms: 15 + 5 = 20 -2 + 2x = 20 + 5x Solving -2 + 2x = 20 + 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. -2 + 2x + -5x = 20 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = 20 + 0 -2 + -3x = 20 Add '2' to each side of the equation. -2 + 2 + -3x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 20 + 2 -3x = 20 + 2 Combine like terms: 20 + 2 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333
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