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Simplifying 4(2x + -5) + 15 = 3(3x + 10) Reorder the terms: 4(-5 + 2x) + 15 = 3(3x + 10) (-5 * 4 + 2x * 4) + 15 = 3(3x + 10) (-20 + 8x) + 15 = 3(3x + 10) Reorder the terms: -20 + 15 + 8x = 3(3x + 10) Combine like terms: -20 + 15 = -5 -5 + 8x = 3(3x + 10) Reorder the terms: -5 + 8x = 3(10 + 3x) -5 + 8x = (10 * 3 + 3x * 3) -5 + 8x = (30 + 9x) Solving -5 + 8x = 30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 8x + -9x = 30 + 9x + -9x Combine like terms: 8x + -9x = -1x -5 + -1x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -1x = 30 + 0 -5 + -1x = 30 Add '5' to each side of the equation. -5 + 5 + -1x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 30 + 5 -1x = 30 + 5 Combine like terms: 30 + 5 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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