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Simplifying 4(1 + -12x) + 8 = 3(2 + -10x) + -12x (1 * 4 + -12x * 4) + 8 = 3(2 + -10x) + -12x (4 + -48x) + 8 = 3(2 + -10x) + -12x Reorder the terms: 4 + 8 + -48x = 3(2 + -10x) + -12x Combine like terms: 4 + 8 = 12 12 + -48x = 3(2 + -10x) + -12x 12 + -48x = (2 * 3 + -10x * 3) + -12x 12 + -48x = (6 + -30x) + -12x Combine like terms: -30x + -12x = -42x 12 + -48x = 6 + -42x Solving 12 + -48x = 6 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 12 + -48x + 42x = 6 + -42x + 42x Combine like terms: -48x + 42x = -6x 12 + -6x = 6 + -42x + 42x Combine like terms: -42x + 42x = 0 12 + -6x = 6 + 0 12 + -6x = 6 Add '-12' to each side of the equation. 12 + -12 + -6x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 6 + -12 -6x = 6 + -12 Combine like terms: 6 + -12 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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