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Simplifying -12 + -2(5 + -3x) = 6(-4x + 3) + -10 -12 + (5 * -2 + -3x * -2) = 6(-4x + 3) + -10 -12 + (-10 + 6x) = 6(-4x + 3) + -10 Combine like terms: -12 + -10 = -22 -22 + 6x = 6(-4x + 3) + -10 Reorder the terms: -22 + 6x = 6(3 + -4x) + -10 -22 + 6x = (3 * 6 + -4x * 6) + -10 -22 + 6x = (18 + -24x) + -10 Reorder the terms: -22 + 6x = 18 + -10 + -24x Combine like terms: 18 + -10 = 8 -22 + 6x = 8 + -24x Solving -22 + 6x = 8 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -22 + 6x + 24x = 8 + -24x + 24x Combine like terms: 6x + 24x = 30x -22 + 30x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 -22 + 30x = 8 + 0 -22 + 30x = 8 Add '22' to each side of the equation. -22 + 22 + 30x = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 30x = 8 + 22 30x = 8 + 22 Combine like terms: 8 + 22 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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