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Simplifying [x + 5(x + -3) + 5 + -1(x + -3)] = 2x + -15 Reorder the terms: [x + 5(-3 + x) + 5 + -1(x + -3)] = 2x + -15 [x + (-3 * 5 + x * 5) + 5 + -1(x + -3)] = 2x + -15 [x + (-15 + 5x) + 5 + -1(x + -3)] = 2x + -15 Reorder the terms: [x + -15 + 5x + 5 + -1(-3 + x)] = 2x + -15 [x + -15 + 5x + 5 + (-3 * -1 + x * -1)] = 2x + -15 [x + -15 + 5x + 5 + (3 + -1x)] = 2x + -15 Reorder the terms: [-15 + 5 + 3 + x + 5x + -1x] = 2x + -15 Combine like terms: -15 + 5 = -10 [-10 + 3 + x + 5x + -1x] = 2x + -15 Combine like terms: -10 + 3 = -7 [-7 + x + 5x + -1x] = 2x + -15 Combine like terms: x + 5x = 6x [-7 + 6x + -1x] = 2x + -15 Combine like terms: 6x + -1x = 5x [-7 + 5x] = 2x + -15 Remove brackets around [-7 + 5x] -7 + 5x = 2x + -15 Reorder the terms: -7 + 5x = -15 + 2x Solving -7 + 5x = -15 + 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. -7 + 5x + -2x = -15 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = -15 + 0 -7 + 3x = -15 Add '7' to each side of the equation. -7 + 7 + 3x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -15 + 7 3x = -15 + 7 Combine like terms: -15 + 7 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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