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Simplifying 2(2x + -6) + -4(5x + 3) = 5 + -2(x + 1) Reorder the terms: 2(-6 + 2x) + -4(5x + 3) = 5 + -2(x + 1) (-6 * 2 + 2x * 2) + -4(5x + 3) = 5 + -2(x + 1) (-12 + 4x) + -4(5x + 3) = 5 + -2(x + 1) Reorder the terms: -12 + 4x + -4(3 + 5x) = 5 + -2(x + 1) -12 + 4x + (3 * -4 + 5x * -4) = 5 + -2(x + 1) -12 + 4x + (-12 + -20x) = 5 + -2(x + 1) Reorder the terms: -12 + -12 + 4x + -20x = 5 + -2(x + 1) Combine like terms: -12 + -12 = -24 -24 + 4x + -20x = 5 + -2(x + 1) Combine like terms: 4x + -20x = -16x -24 + -16x = 5 + -2(x + 1) Reorder the terms: -24 + -16x = 5 + -2(1 + x) -24 + -16x = 5 + (1 * -2 + x * -2) -24 + -16x = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 -24 + -16x = 3 + -2x Solving -24 + -16x = 3 + -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. -24 + -16x + 2x = 3 + -2x + 2x Combine like terms: -16x + 2x = -14x -24 + -14x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -14x = 3 + 0 -24 + -14x = 3 Add '24' to each side of the equation. -24 + 24 + -14x = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = 3 + 24 -14x = 3 + 24 Combine like terms: 3 + 24 = 27 -14x = 27 Divide each side by '-14'. x = -1.928571429 Simplifying x = -1.928571429
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