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Simplifying 3(x + 5) + -8 = 2(x + -6) + 5x Reorder the terms: 3(5 + x) + -8 = 2(x + -6) + 5x (5 * 3 + x * 3) + -8 = 2(x + -6) + 5x (15 + 3x) + -8 = 2(x + -6) + 5x Reorder the terms: 15 + -8 + 3x = 2(x + -6) + 5x Combine like terms: 15 + -8 = 7 7 + 3x = 2(x + -6) + 5x Reorder the terms: 7 + 3x = 2(-6 + x) + 5x 7 + 3x = (-6 * 2 + x * 2) + 5x 7 + 3x = (-12 + 2x) + 5x Combine like terms: 2x + 5x = 7x 7 + 3x = -12 + 7x Solving 7 + 3x = -12 + 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. 7 + 3x + -7x = -12 + 7x + -7x Combine like terms: 3x + -7x = -4x 7 + -4x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -4x = -12 + 0 7 + -4x = -12 Add '-7' to each side of the equation. 7 + -7 + -4x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -12 + -7 -4x = -12 + -7 Combine like terms: -12 + -7 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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