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Simplifying 2(x + -3) + -5(2x + -4) = 2x + 4 Reorder the terms: 2(-3 + x) + -5(2x + -4) = 2x + 4 (-3 * 2 + x * 2) + -5(2x + -4) = 2x + 4 (-6 + 2x) + -5(2x + -4) = 2x + 4 Reorder the terms: -6 + 2x + -5(-4 + 2x) = 2x + 4 -6 + 2x + (-4 * -5 + 2x * -5) = 2x + 4 -6 + 2x + (20 + -10x) = 2x + 4 Reorder the terms: -6 + 20 + 2x + -10x = 2x + 4 Combine like terms: -6 + 20 = 14 14 + 2x + -10x = 2x + 4 Combine like terms: 2x + -10x = -8x 14 + -8x = 2x + 4 Reorder the terms: 14 + -8x = 4 + 2x Solving 14 + -8x = 4 + 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. 14 + -8x + -2x = 4 + 2x + -2x Combine like terms: -8x + -2x = -10x 14 + -10x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -10x = 4 + 0 14 + -10x = 4 Add '-14' to each side of the equation. 14 + -14 + -10x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 4 + -14 -10x = 4 + -14 Combine like terms: 4 + -14 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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