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Simplifying 38x + -15 = 5(8x + -7) Reorder the terms: -15 + 38x = 5(8x + -7) Reorder the terms: -15 + 38x = 5(-7 + 8x) -15 + 38x = (-7 * 5 + 8x * 5) -15 + 38x = (-35 + 40x) Solving -15 + 38x = -35 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -15 + 38x + -40x = -35 + 40x + -40x Combine like terms: 38x + -40x = -2x -15 + -2x = -35 + 40x + -40x Combine like terms: 40x + -40x = 0 -15 + -2x = -35 + 0 -15 + -2x = -35 Add '15' to each side of the equation. -15 + 15 + -2x = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -35 + 15 -2x = -35 + 15 Combine like terms: -35 + 15 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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