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Simplifying 3x + -2(x + 6) = 4(x + 1) + -5 Reorder the terms: 3x + -2(6 + x) = 4(x + 1) + -5 3x + (6 * -2 + x * -2) = 4(x + 1) + -5 3x + (-12 + -2x) = 4(x + 1) + -5 Reorder the terms: -12 + 3x + -2x = 4(x + 1) + -5 Combine like terms: 3x + -2x = 1x -12 + 1x = 4(x + 1) + -5 Reorder the terms: -12 + 1x = 4(1 + x) + -5 -12 + 1x = (1 * 4 + x * 4) + -5 -12 + 1x = (4 + 4x) + -5 Reorder the terms: -12 + 1x = 4 + -5 + 4x Combine like terms: 4 + -5 = -1 -12 + 1x = -1 + 4x Solving -12 + 1x = -1 + 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 = -1 + 4x + -4x Combine like terms: 1x + -4x = -3x -12 + -3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -3x = -1 + 0 -12 + -3x = -1 Add '12' to each side of the equation. -12 + 12 + -3x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -1 + 12 -3x = -1 + 12 Combine like terms: -1 + 12 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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