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Simplifying 5(2x + -3) = 2(x + -2) + 5 Reorder the terms: 5(-3 + 2x) = 2(x + -2) + 5 (-3 * 5 + 2x * 5) = 2(x + -2) + 5 (-15 + 10x) = 2(x + -2) + 5 Reorder the terms: -15 + 10x = 2(-2 + x) + 5 -15 + 10x = (-2 * 2 + x * 2) + 5 -15 + 10x = (-4 + 2x) + 5 Reorder the terms: -15 + 10x = -4 + 5 + 2x Combine like terms: -4 + 5 = 1 -15 + 10x = 1 + 2x Solving -15 + 10x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 10x + -2x = 1 + 2x + -2x Combine like terms: 10x + -2x = 8x -15 + 8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 8x = 1 + 0 -15 + 8x = 1 Add '15' to each side of the equation. -15 + 15 + 8x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 1 + 15 8x = 1 + 15 Combine like terms: 1 + 15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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