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Simplifying 29x + 12 + 4(3x + -3) = 7(x + -2) + -4x + -14 Reorder the terms: 29x + 12 + 4(-3 + 3x) = 7(x + -2) + -4x + -14 29x + 12 + (-3 * 4 + 3x * 4) = 7(x + -2) + -4x + -14 29x + 12 + (-12 + 12x) = 7(x + -2) + -4x + -14 Reorder the terms: 12 + -12 + 29x + 12x = 7(x + -2) + -4x + -14 Combine like terms: 12 + -12 = 0 0 + 29x + 12x = 7(x + -2) + -4x + -14 29x + 12x = 7(x + -2) + -4x + -14 Combine like terms: 29x + 12x = 41x 41x = 7(x + -2) + -4x + -14 Reorder the terms: 41x = 7(-2 + x) + -4x + -14 41x = (-2 * 7 + x * 7) + -4x + -14 41x = (-14 + 7x) + -4x + -14 Reorder the terms: 41x = -14 + -14 + 7x + -4x Combine like terms: -14 + -14 = -28 41x = -28 + 7x + -4x Combine like terms: 7x + -4x = 3x 41x = -28 + 3x Solving 41x = -28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 41x + -3x = -28 + 3x + -3x Combine like terms: 41x + -3x = 38x 38x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 38x = -28 + 0 38x = -28 Divide each side by '38'. x = -0.7368421053 Simplifying x = -0.7368421053
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