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Simplifying 2(x + -3) = 5(2x + -4) Reorder the terms: 2(-3 + x) = 5(2x + -4) (-3 * 2 + x * 2) = 5(2x + -4) (-6 + 2x) = 5(2x + -4) Reorder the terms: -6 + 2x = 5(-4 + 2x) -6 + 2x = (-4 * 5 + 2x * 5) -6 + 2x = (-20 + 10x) Solving -6 + 2x = -20 + 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. -6 + 2x + -10x = -20 + 10x + -10x Combine like terms: 2x + -10x = -8x -6 + -8x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -8x = -20 + 0 -6 + -8x = -20 Add '6' to each side of the equation. -6 + 6 + -8x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -20 + 6 -8x = -20 + 6 Combine like terms: -20 + 6 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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