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Simplifying 6(x + -3) + 10 = -2(3x + -4) Reorder the terms: 6(-3 + x) + 10 = -2(3x + -4) (-3 * 6 + x * 6) + 10 = -2(3x + -4) (-18 + 6x) + 10 = -2(3x + -4) Reorder the terms: -18 + 10 + 6x = -2(3x + -4) Combine like terms: -18 + 10 = -8 -8 + 6x = -2(3x + -4) Reorder the terms: -8 + 6x = -2(-4 + 3x) -8 + 6x = (-4 * -2 + 3x * -2) -8 + 6x = (8 + -6x) Solving -8 + 6x = 8 + -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. -8 + 6x + 6x = 8 + -6x + 6x Combine like terms: 6x + 6x = 12x -8 + 12x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 12x = 8 + 0 -8 + 12x = 8 Add '8' to each side of the equation. -8 + 8 + 12x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 8 + 8 12x = 8 + 8 Combine like terms: 8 + 8 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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