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Simplifying 12x + -6(x + 1) = 4(2x + -1) + -3 Reorder the terms: 12x + -6(1 + x) = 4(2x + -1) + -3 12x + (1 * -6 + x * -6) = 4(2x + -1) + -3 12x + (-6 + -6x) = 4(2x + -1) + -3 Reorder the terms: -6 + 12x + -6x = 4(2x + -1) + -3 Combine like terms: 12x + -6x = 6x -6 + 6x = 4(2x + -1) + -3 Reorder the terms: -6 + 6x = 4(-1 + 2x) + -3 -6 + 6x = (-1 * 4 + 2x * 4) + -3 -6 + 6x = (-4 + 8x) + -3 Reorder the terms: -6 + 6x = -4 + -3 + 8x Combine like terms: -4 + -3 = -7 -6 + 6x = -7 + 8x Solving -6 + 6x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 6x + -8x = -7 + 8x + -8x Combine like terms: 6x + -8x = -2x -6 + -2x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -2x = -7 + 0 -6 + -2x = -7 Add '6' to each side of the equation. -6 + 6 + -2x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -7 + 6 -2x = -7 + 6 Combine like terms: -7 + 6 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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