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Simplifying (2x + 3) * 5 = (x + -4) * 2 Reorder the terms: (3 + 2x) * 5 = (x + -4) * 2 Reorder the terms for easier multiplication: 5(3 + 2x) = (x + -4) * 2 (3 * 5 + 2x * 5) = (x + -4) * 2 (15 + 10x) = (x + -4) * 2 Reorder the terms: 15 + 10x = (-4 + x) * 2 Reorder the terms for easier multiplication: 15 + 10x = 2(-4 + x) 15 + 10x = (-4 * 2 + x * 2) 15 + 10x = (-8 + 2x) Solving 15 + 10x = -8 + 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 = -8 + 2x + -2x Combine like terms: 10x + -2x = 8x 15 + 8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 8x = -8 + 0 15 + 8x = -8 Add '-15' to each side of the equation. 15 + -15 + 8x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -8 + -15 8x = -8 + -15 Combine like terms: -8 + -15 = -23 8x = -23 Divide each side by '8'. x = -2.875 Simplifying x = -2.875
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