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Simplifying 2(x + -5) + -3(2x + -4) = 6 + -2(x + 5) Reorder the terms: 2(-5 + x) + -3(2x + -4) = 6 + -2(x + 5) (-5 * 2 + x * 2) + -3(2x + -4) = 6 + -2(x + 5) (-10 + 2x) + -3(2x + -4) = 6 + -2(x + 5) Reorder the terms: -10 + 2x + -3(-4 + 2x) = 6 + -2(x + 5) -10 + 2x + (-4 * -3 + 2x * -3) = 6 + -2(x + 5) -10 + 2x + (12 + -6x) = 6 + -2(x + 5) Reorder the terms: -10 + 12 + 2x + -6x = 6 + -2(x + 5) Combine like terms: -10 + 12 = 2 2 + 2x + -6x = 6 + -2(x + 5) Combine like terms: 2x + -6x = -4x 2 + -4x = 6 + -2(x + 5) Reorder the terms: 2 + -4x = 6 + -2(5 + x) 2 + -4x = 6 + (5 * -2 + x * -2) 2 + -4x = 6 + (-10 + -2x) Combine like terms: 6 + -10 = -4 2 + -4x = -4 + -2x Solving 2 + -4x = -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. 2 + -4x + 2x = -4 + -2x + 2x Combine like terms: -4x + 2x = -2x 2 + -2x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + -2x = -4 + 0 2 + -2x = -4 Add '-2' to each side of the equation. 2 + -2 + -2x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -4 + -2 -2x = -4 + -2 Combine like terms: -4 + -2 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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