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Simplifying 3(x + -4) + 6 = 10 + -2(-3x + 6) Reorder the terms: 3(-4 + x) + 6 = 10 + -2(-3x + 6) (-4 * 3 + x * 3) + 6 = 10 + -2(-3x + 6) (-12 + 3x) + 6 = 10 + -2(-3x + 6) Reorder the terms: -12 + 6 + 3x = 10 + -2(-3x + 6) Combine like terms: -12 + 6 = -6 -6 + 3x = 10 + -2(-3x + 6) Reorder the terms: -6 + 3x = 10 + -2(6 + -3x) -6 + 3x = 10 + (6 * -2 + -3x * -2) -6 + 3x = 10 + (-12 + 6x) Combine like terms: 10 + -12 = -2 -6 + 3x = -2 + 6x Solving -6 + 3x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 3x + -6x = -2 + 6x + -6x Combine like terms: 3x + -6x = -3x -6 + -3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -3x = -2 + 0 -6 + -3x = -2 Add '6' to each side of the equation. -6 + 6 + -3x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -2 + 6 -3x = -2 + 6 Combine like terms: -2 + 6 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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