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Simplifying 4(2 + -3x) + -30 = 10 + -2(x + -4) (2 * 4 + -3x * 4) + -30 = 10 + -2(x + -4) (8 + -12x) + -30 = 10 + -2(x + -4) Reorder the terms: 8 + -30 + -12x = 10 + -2(x + -4) Combine like terms: 8 + -30 = -22 -22 + -12x = 10 + -2(x + -4) Reorder the terms: -22 + -12x = 10 + -2(-4 + x) -22 + -12x = 10 + (-4 * -2 + x * -2) -22 + -12x = 10 + (8 + -2x) Combine like terms: 10 + 8 = 18 -22 + -12x = 18 + -2x Solving -22 + -12x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -22 + -12x + 2x = 18 + -2x + 2x Combine like terms: -12x + 2x = -10x -22 + -10x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -22 + -10x = 18 + 0 -22 + -10x = 18 Add '22' to each side of the equation. -22 + 22 + -10x = 18 + 22 Combine like terms: -22 + 22 = 0 0 + -10x = 18 + 22 -10x = 18 + 22 Combine like terms: 18 + 22 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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