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Simplifying -1x + -1(-3)(x + -5) + -1(2x + 3) = 5x + -7 + -1 Reorder the terms: -1x + -1 * -3(-5 + x) + -1(2x + 3) = 5x + -7 + -1 Multiply -1 * -3 -1x + 3(-5 + x) + -1(2x + 3) = 5x + -7 + -1 -1x + (-5 * 3 + x * 3) + -1(2x + 3) = 5x + -7 + -1 -1x + (-15 + 3x) + -1(2x + 3) = 5x + -7 + -1 Reorder the terms: -1x + -15 + 3x + -1(3 + 2x) = 5x + -7 + -1 -1x + -15 + 3x + (3 * -1 + 2x * -1) = 5x + -7 + -1 -1x + -15 + 3x + (-3 + -2x) = 5x + -7 + -1 Reorder the terms: -15 + -3 + -1x + 3x + -2x = 5x + -7 + -1 Combine like terms: -15 + -3 = -18 -18 + -1x + 3x + -2x = 5x + -7 + -1 Combine like terms: -1x + 3x = 2x -18 + 2x + -2x = 5x + -7 + -1 Combine like terms: 2x + -2x = 0 -18 + 0 = 5x + -7 + -1 -18 = 5x + -7 + -1 Reorder the terms: -18 = -7 + -1 + 5x Combine like terms: -7 + -1 = -8 -18 = -8 + 5x Solving -18 = -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. -18 + -5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -5x = -8 + 0 -18 + -5x = -8 Add '18' to each side of the equation. -18 + 18 + -5x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -8 + 18 -5x = -8 + 18 Combine like terms: -8 + 18 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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