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Simplifying 7(4x + -2) + 4(17 + -3x) = 5(3x + 1) + -3 Reorder the terms: 7(-2 + 4x) + 4(17 + -3x) = 5(3x + 1) + -3 (-2 * 7 + 4x * 7) + 4(17 + -3x) = 5(3x + 1) + -3 (-14 + 28x) + 4(17 + -3x) = 5(3x + 1) + -3 -14 + 28x + (17 * 4 + -3x * 4) = 5(3x + 1) + -3 -14 + 28x + (68 + -12x) = 5(3x + 1) + -3 Reorder the terms: -14 + 68 + 28x + -12x = 5(3x + 1) + -3 Combine like terms: -14 + 68 = 54 54 + 28x + -12x = 5(3x + 1) + -3 Combine like terms: 28x + -12x = 16x 54 + 16x = 5(3x + 1) + -3 Reorder the terms: 54 + 16x = 5(1 + 3x) + -3 54 + 16x = (1 * 5 + 3x * 5) + -3 54 + 16x = (5 + 15x) + -3 Reorder the terms: 54 + 16x = 5 + -3 + 15x Combine like terms: 5 + -3 = 2 54 + 16x = 2 + 15x Solving 54 + 16x = 2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 54 + 16x + -15x = 2 + 15x + -15x Combine like terms: 16x + -15x = 1x 54 + 1x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 54 + 1x = 2 + 0 54 + 1x = 2 Add '-54' to each side of the equation. 54 + -54 + 1x = 2 + -54 Combine like terms: 54 + -54 = 0 0 + 1x = 2 + -54 1x = 2 + -54 Combine like terms: 2 + -54 = -52 1x = -52 Divide each side by '1'. x = -52 Simplifying x = -52
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