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Simplifying 3(5x + -10) + -8 = -3(x + -15) + 17 Reorder the terms: 3(-10 + 5x) + -8 = -3(x + -15) + 17 (-10 * 3 + 5x * 3) + -8 = -3(x + -15) + 17 (-30 + 15x) + -8 = -3(x + -15) + 17 Reorder the terms: -30 + -8 + 15x = -3(x + -15) + 17 Combine like terms: -30 + -8 = -38 -38 + 15x = -3(x + -15) + 17 Reorder the terms: -38 + 15x = -3(-15 + x) + 17 -38 + 15x = (-15 * -3 + x * -3) + 17 -38 + 15x = (45 + -3x) + 17 Reorder the terms: -38 + 15x = 45 + 17 + -3x Combine like terms: 45 + 17 = 62 -38 + 15x = 62 + -3x Solving -38 + 15x = 62 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -38 + 15x + 3x = 62 + -3x + 3x Combine like terms: 15x + 3x = 18x -38 + 18x = 62 + -3x + 3x Combine like terms: -3x + 3x = 0 -38 + 18x = 62 + 0 -38 + 18x = 62 Add '38' to each side of the equation. -38 + 38 + 18x = 62 + 38 Combine like terms: -38 + 38 = 0 0 + 18x = 62 + 38 18x = 62 + 38 Combine like terms: 62 + 38 = 100 18x = 100 Divide each side by '18'. x = 5.555555556 Simplifying x = 5.555555556
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