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Simplifying 4(x + -2) + -6(x + -3) = x + 36 Reorder the terms: 4(-2 + x) + -6(x + -3) = x + 36 (-2 * 4 + x * 4) + -6(x + -3) = x + 36 (-8 + 4x) + -6(x + -3) = x + 36 Reorder the terms: -8 + 4x + -6(-3 + x) = x + 36 -8 + 4x + (-3 * -6 + x * -6) = x + 36 -8 + 4x + (18 + -6x) = x + 36 Reorder the terms: -8 + 18 + 4x + -6x = x + 36 Combine like terms: -8 + 18 = 10 10 + 4x + -6x = x + 36 Combine like terms: 4x + -6x = -2x 10 + -2x = x + 36 Reorder the terms: 10 + -2x = 36 + x Solving 10 + -2x = 36 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -2x + -1x = 36 + x + -1x Combine like terms: -2x + -1x = -3x 10 + -3x = 36 + x + -1x Combine like terms: x + -1x = 0 10 + -3x = 36 + 0 10 + -3x = 36 Add '-10' to each side of the equation. 10 + -10 + -3x = 36 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 36 + -10 -3x = 36 + -10 Combine like terms: 36 + -10 = 26 -3x = 26 Divide each side by '-3'. x = -8.666666667 Simplifying x = -8.666666667
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