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Simplifying 10x + -2(3x + -6) = 4(5x + -6) + -10x Reorder the terms: 10x + -2(-6 + 3x) = 4(5x + -6) + -10x 10x + (-6 * -2 + 3x * -2) = 4(5x + -6) + -10x 10x + (12 + -6x) = 4(5x + -6) + -10x Reorder the terms: 12 + 10x + -6x = 4(5x + -6) + -10x Combine like terms: 10x + -6x = 4x 12 + 4x = 4(5x + -6) + -10x Reorder the terms: 12 + 4x = 4(-6 + 5x) + -10x 12 + 4x = (-6 * 4 + 5x * 4) + -10x 12 + 4x = (-24 + 20x) + -10x Combine like terms: 20x + -10x = 10x 12 + 4x = -24 + 10x Solving 12 + 4x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 4x + -10x = -24 + 10x + -10x Combine like terms: 4x + -10x = -6x 12 + -6x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -6x = -24 + 0 12 + -6x = -24 Add '-12' to each side of the equation. 12 + -12 + -6x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -24 + -12 -6x = -24 + -12 Combine like terms: -24 + -12 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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