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Simplifying 12 + -1(4x + 1) = 3(x + -1) + 3x Reorder the terms: 12 + -1(1 + 4x) = 3(x + -1) + 3x 12 + (1 * -1 + 4x * -1) = 3(x + -1) + 3x 12 + (-1 + -4x) = 3(x + -1) + 3x Combine like terms: 12 + -1 = 11 11 + -4x = 3(x + -1) + 3x Reorder the terms: 11 + -4x = 3(-1 + x) + 3x 11 + -4x = (-1 * 3 + x * 3) + 3x 11 + -4x = (-3 + 3x) + 3x Combine like terms: 3x + 3x = 6x 11 + -4x = -3 + 6x Solving 11 + -4x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + -4x + -6x = -3 + 6x + -6x Combine like terms: -4x + -6x = -10x 11 + -10x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -10x = -3 + 0 11 + -10x = -3 Add '-11' to each side of the equation. 11 + -11 + -10x = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = -3 + -11 -10x = -3 + -11 Combine like terms: -3 + -11 = -14 -10x = -14 Divide each side by '-10'. x = 1.4 Simplifying x = 1.4
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