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Simplifying 5(2x + 1) + 10 = 2(x + -4) Reorder the terms: 5(1 + 2x) + 10 = 2(x + -4) (1 * 5 + 2x * 5) + 10 = 2(x + -4) (5 + 10x) + 10 = 2(x + -4) Reorder the terms: 5 + 10 + 10x = 2(x + -4) Combine like terms: 5 + 10 = 15 15 + 10x = 2(x + -4) Reorder the terms: 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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