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Simplifying 5x + -2(2x + -6) = 11 + 4(x + -1) Reorder the terms: 5x + -2(-6 + 2x) = 11 + 4(x + -1) 5x + (-6 * -2 + 2x * -2) = 11 + 4(x + -1) 5x + (12 + -4x) = 11 + 4(x + -1) Reorder the terms: 12 + 5x + -4x = 11 + 4(x + -1) Combine like terms: 5x + -4x = 1x 12 + 1x = 11 + 4(x + -1) Reorder the terms: 12 + 1x = 11 + 4(-1 + x) 12 + 1x = 11 + (-1 * 4 + x * 4) 12 + 1x = 11 + (-4 + 4x) Combine like terms: 11 + -4 = 7 12 + 1x = 7 + 4x Solving 12 + 1x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 1x + -4x = 7 + 4x + -4x Combine like terms: 1x + -4x = -3x 12 + -3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -3x = 7 + 0 12 + -3x = 7 Add '-12' to each side of the equation. 12 + -12 + -3x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 7 + -12 -3x = 7 + -12 Combine like terms: 7 + -12 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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