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Simplifying 4(7x + -4) + 5(18 + -3x) = 3(4x + 5) + -14 Reorder the terms: 4(-4 + 7x) + 5(18 + -3x) = 3(4x + 5) + -14 (-4 * 4 + 7x * 4) + 5(18 + -3x) = 3(4x + 5) + -14 (-16 + 28x) + 5(18 + -3x) = 3(4x + 5) + -14 -16 + 28x + (18 * 5 + -3x * 5) = 3(4x + 5) + -14 -16 + 28x + (90 + -15x) = 3(4x + 5) + -14 Reorder the terms: -16 + 90 + 28x + -15x = 3(4x + 5) + -14 Combine like terms: -16 + 90 = 74 74 + 28x + -15x = 3(4x + 5) + -14 Combine like terms: 28x + -15x = 13x 74 + 13x = 3(4x + 5) + -14 Reorder the terms: 74 + 13x = 3(5 + 4x) + -14 74 + 13x = (5 * 3 + 4x * 3) + -14 74 + 13x = (15 + 12x) + -14 Reorder the terms: 74 + 13x = 15 + -14 + 12x Combine like terms: 15 + -14 = 1 74 + 13x = 1 + 12x Solving 74 + 13x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 74 + 13x + -12x = 1 + 12x + -12x Combine like terms: 13x + -12x = 1x 74 + 1x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 74 + 1x = 1 + 0 74 + 1x = 1 Add '-74' to each side of the equation. 74 + -74 + 1x = 1 + -74 Combine like terms: 74 + -74 = 0 0 + 1x = 1 + -74 1x = 1 + -74 Combine like terms: 1 + -74 = -73 1x = -73 Divide each side by '1'. x = -73 Simplifying x = -73
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