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Simplifying 12(2x + 1) + -14(8x + 2) = 3(x + -4) Reorder the terms: 12(1 + 2x) + -14(8x + 2) = 3(x + -4) (1 * 12 + 2x * 12) + -14(8x + 2) = 3(x + -4) (12 + 24x) + -14(8x + 2) = 3(x + -4) Reorder the terms: 12 + 24x + -14(2 + 8x) = 3(x + -4) 12 + 24x + (2 * -14 + 8x * -14) = 3(x + -4) 12 + 24x + (-28 + -112x) = 3(x + -4) Reorder the terms: 12 + -28 + 24x + -112x = 3(x + -4) Combine like terms: 12 + -28 = -16 -16 + 24x + -112x = 3(x + -4) Combine like terms: 24x + -112x = -88x -16 + -88x = 3(x + -4) Reorder the terms: -16 + -88x = 3(-4 + x) -16 + -88x = (-4 * 3 + x * 3) -16 + -88x = (-12 + 3x) Solving -16 + -88x = -12 + 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. -16 + -88x + -3x = -12 + 3x + -3x Combine like terms: -88x + -3x = -91x -16 + -91x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -91x = -12 + 0 -16 + -91x = -12 Add '16' to each side of the equation. -16 + 16 + -91x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -91x = -12 + 16 -91x = -12 + 16 Combine like terms: -12 + 16 = 4 -91x = 4 Divide each side by '-91'. x = -0.04395604396 Simplifying x = -0.04395604396
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