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Simplifying 2x + -3 = 5(2x + -4) Reorder the terms: -3 + 2x = 5(2x + -4) Reorder the terms: -3 + 2x = 5(-4 + 2x) -3 + 2x = (-4 * 5 + 2x * 5) -3 + 2x = (-20 + 10x) Solving -3 + 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. -3 + 2x + -10x = -20 + 10x + -10x Combine like terms: 2x + -10x = -8x -3 + -8x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + -8x = -20 + 0 -3 + -8x = -20 Add '3' to each side of the equation. -3 + 3 + -8x = -20 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -20 + 3 -8x = -20 + 3 Combine like terms: -20 + 3 = -17 -8x = -17 Divide each side by '-8'. x = 2.125 Simplifying x = 2.125
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