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Simplifying -3(x + -5) + -10 = 4(x + 5) + 3x Reorder the terms: -3(-5 + x) + -10 = 4(x + 5) + 3x (-5 * -3 + x * -3) + -10 = 4(x + 5) + 3x (15 + -3x) + -10 = 4(x + 5) + 3x Reorder the terms: 15 + -10 + -3x = 4(x + 5) + 3x Combine like terms: 15 + -10 = 5 5 + -3x = 4(x + 5) + 3x Reorder the terms: 5 + -3x = 4(5 + x) + 3x 5 + -3x = (5 * 4 + x * 4) + 3x 5 + -3x = (20 + 4x) + 3x Combine like terms: 4x + 3x = 7x 5 + -3x = 20 + 7x Solving 5 + -3x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -3x + -7x = 20 + 7x + -7x Combine like terms: -3x + -7x = -10x 5 + -10x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -10x = 20 + 0 5 + -10x = 20 Add '-5' to each side of the equation. 5 + -5 + -10x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 20 + -5 -10x = 20 + -5 Combine like terms: 20 + -5 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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