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Simplifying 5x + -4(2 + x) + -5 = 2(x + 4) + 6 5x + (2 * -4 + x * -4) + -5 = 2(x + 4) + 6 5x + (-8 + -4x) + -5 = 2(x + 4) + 6 Reorder the terms: -8 + -5 + 5x + -4x = 2(x + 4) + 6 Combine like terms: -8 + -5 = -13 -13 + 5x + -4x = 2(x + 4) + 6 Combine like terms: 5x + -4x = 1x -13 + 1x = 2(x + 4) + 6 Reorder the terms: -13 + 1x = 2(4 + x) + 6 -13 + 1x = (4 * 2 + x * 2) + 6 -13 + 1x = (8 + 2x) + 6 Reorder the terms: -13 + 1x = 8 + 6 + 2x Combine like terms: 8 + 6 = 14 -13 + 1x = 14 + 2x Solving -13 + 1x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 1x + -2x = 14 + 2x + -2x Combine like terms: 1x + -2x = -1x -13 + -1x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -1x = 14 + 0 -13 + -1x = 14 Add '13' to each side of the equation. -13 + 13 + -1x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 14 + 13 -1x = 14 + 13 Combine like terms: 14 + 13 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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