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Simplifying 7(4x + -2) + 3(18 + -5x) + -3(4x + 4) = -3 Reorder the terms: 7(-2 + 4x) + 3(18 + -5x) + -3(4x + 4) = -3 (-2 * 7 + 4x * 7) + 3(18 + -5x) + -3(4x + 4) = -3 (-14 + 28x) + 3(18 + -5x) + -3(4x + 4) = -3 -14 + 28x + (18 * 3 + -5x * 3) + -3(4x + 4) = -3 -14 + 28x + (54 + -15x) + -3(4x + 4) = -3 Reorder the terms: -14 + 28x + 54 + -15x + -3(4 + 4x) = -3 -14 + 28x + 54 + -15x + (4 * -3 + 4x * -3) = -3 -14 + 28x + 54 + -15x + (-12 + -12x) = -3 Reorder the terms: -14 + 54 + -12 + 28x + -15x + -12x = -3 Combine like terms: -14 + 54 = 40 40 + -12 + 28x + -15x + -12x = -3 Combine like terms: 40 + -12 = 28 28 + 28x + -15x + -12x = -3 Combine like terms: 28x + -15x = 13x 28 + 13x + -12x = -3 Combine like terms: 13x + -12x = 1x 28 + 1x = -3 Solving 28 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1x = -3 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = -3 + -28 1x = -3 + -28 Combine like terms: -3 + -28 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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