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Simplifying 2(2x + -5) + 8 = -4 + -7(1 + -1x) Reorder the terms: 2(-5 + 2x) + 8 = -4 + -7(1 + -1x) (-5 * 2 + 2x * 2) + 8 = -4 + -7(1 + -1x) (-10 + 4x) + 8 = -4 + -7(1 + -1x) Reorder the terms: -10 + 8 + 4x = -4 + -7(1 + -1x) Combine like terms: -10 + 8 = -2 -2 + 4x = -4 + -7(1 + -1x) -2 + 4x = -4 + (1 * -7 + -1x * -7) -2 + 4x = -4 + (-7 + 7x) Combine like terms: -4 + -7 = -11 -2 + 4x = -11 + 7x Solving -2 + 4x = -11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 4x + -7x = -11 + 7x + -7x Combine like terms: 4x + -7x = -3x -2 + -3x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -3x = -11 + 0 -2 + -3x = -11 Add '2' to each side of the equation. -2 + 2 + -3x = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -11 + 2 -3x = -11 + 2 Combine like terms: -11 + 2 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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