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Simplifying 8x + -12 = x + 3(3x + 1) Reorder the terms: -12 + 8x = x + 3(3x + 1) Reorder the terms: -12 + 8x = x + 3(1 + 3x) -12 + 8x = x + (1 * 3 + 3x * 3) -12 + 8x = x + (3 + 9x) Reorder the terms: -12 + 8x = 3 + x + 9x Combine like terms: x + 9x = 10x -12 + 8x = 3 + 10x Solving -12 + 8x = 3 + 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 + 8x + -10x = 3 + 10x + -10x Combine like terms: 8x + -10x = -2x -12 + -2x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -2x = 3 + 0 -12 + -2x = 3 Add '12' to each side of the equation. -12 + 12 + -2x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 3 + 12 -2x = 3 + 12 Combine like terms: 3 + 12 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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