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Simplifying 4(7x + -4) + 4(18 + -3x) + -5(3x + 2) = -5 Reorder the terms: 4(-4 + 7x) + 4(18 + -3x) + -5(3x + 2) = -5 (-4 * 4 + 7x * 4) + 4(18 + -3x) + -5(3x + 2) = -5 (-16 + 28x) + 4(18 + -3x) + -5(3x + 2) = -5 -16 + 28x + (18 * 4 + -3x * 4) + -5(3x + 2) = -5 -16 + 28x + (72 + -12x) + -5(3x + 2) = -5 Reorder the terms: -16 + 28x + 72 + -12x + -5(2 + 3x) = -5 -16 + 28x + 72 + -12x + (2 * -5 + 3x * -5) = -5 -16 + 28x + 72 + -12x + (-10 + -15x) = -5 Reorder the terms: -16 + 72 + -10 + 28x + -12x + -15x = -5 Combine like terms: -16 + 72 = 56 56 + -10 + 28x + -12x + -15x = -5 Combine like terms: 56 + -10 = 46 46 + 28x + -12x + -15x = -5 Combine like terms: 28x + -12x = 16x 46 + 16x + -15x = -5 Combine like terms: 16x + -15x = 1x 46 + 1x = -5 Solving 46 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 1x = -5 + -46 Combine like terms: 46 + -46 = 0 0 + 1x = -5 + -46 1x = -5 + -46 Combine like terms: -5 + -46 = -51 1x = -51 Divide each side by '1'. x = -51 Simplifying x = -51
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