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Simplifying 7(4x + 3) + -4 = 5(28 + -1x) + 207 Reorder the terms: 7(3 + 4x) + -4 = 5(28 + -1x) + 207 (3 * 7 + 4x * 7) + -4 = 5(28 + -1x) + 207 (21 + 28x) + -4 = 5(28 + -1x) + 207 Reorder the terms: 21 + -4 + 28x = 5(28 + -1x) + 207 Combine like terms: 21 + -4 = 17 17 + 28x = 5(28 + -1x) + 207 17 + 28x = (28 * 5 + -1x * 5) + 207 17 + 28x = (140 + -5x) + 207 Reorder the terms: 17 + 28x = 140 + 207 + -5x Combine like terms: 140 + 207 = 347 17 + 28x = 347 + -5x Solving 17 + 28x = 347 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + 28x + 5x = 347 + -5x + 5x Combine like terms: 28x + 5x = 33x 17 + 33x = 347 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 33x = 347 + 0 17 + 33x = 347 Add '-17' to each side of the equation. 17 + -17 + 33x = 347 + -17 Combine like terms: 17 + -17 = 0 0 + 33x = 347 + -17 33x = 347 + -17 Combine like terms: 347 + -17 = 330 33x = 330 Divide each side by '33'. x = 10 Simplifying x = 10
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