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Simplifying 3x + -8 = 5(2x + -3) Reorder the terms: -8 + 3x = 5(2x + -3) Reorder the terms: -8 + 3x = 5(-3 + 2x) -8 + 3x = (-3 * 5 + 2x * 5) -8 + 3x = (-15 + 10x) Solving -8 + 3x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 3x + -10x = -15 + 10x + -10x Combine like terms: 3x + -10x = -7x -8 + -7x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -7x = -15 + 0 -8 + -7x = -15 Add '8' to each side of the equation. -8 + 8 + -7x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -15 + 8 -7x = -15 + 8 Combine like terms: -15 + 8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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