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Simplifying 14 + -2(3x + 5) + -3x = 12 + 4(x + -6) + -2x Reorder the terms: 14 + -2(5 + 3x) + -3x = 12 + 4(x + -6) + -2x 14 + (5 * -2 + 3x * -2) + -3x = 12 + 4(x + -6) + -2x 14 + (-10 + -6x) + -3x = 12 + 4(x + -6) + -2x Combine like terms: 14 + -10 = 4 4 + -6x + -3x = 12 + 4(x + -6) + -2x Combine like terms: -6x + -3x = -9x 4 + -9x = 12 + 4(x + -6) + -2x Reorder the terms: 4 + -9x = 12 + 4(-6 + x) + -2x 4 + -9x = 12 + (-6 * 4 + x * 4) + -2x 4 + -9x = 12 + (-24 + 4x) + -2x Combine like terms: 12 + -24 = -12 4 + -9x = -12 + 4x + -2x Combine like terms: 4x + -2x = 2x 4 + -9x = -12 + 2x Solving 4 + -9x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -9x + -2x = -12 + 2x + -2x Combine like terms: -9x + -2x = -11x 4 + -11x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -11x = -12 + 0 4 + -11x = -12 Add '-4' to each side of the equation. 4 + -4 + -11x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -12 + -4 -11x = -12 + -4 Combine like terms: -12 + -4 = -16 -11x = -16 Divide each side by '-11'. x = 1.454545455 Simplifying x = 1.454545455
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