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