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Simplifying 4(x + 28) + -3(-1x + 7) = 35 Reorder the terms: 4(28 + x) + -3(-1x + 7) = 35 (28 * 4 + x * 4) + -3(-1x + 7) = 35 (112 + 4x) + -3(-1x + 7) = 35 Reorder the terms: 112 + 4x + -3(7 + -1x) = 35 112 + 4x + (7 * -3 + -1x * -3) = 35 112 + 4x + (-21 + 3x) = 35 Reorder the terms: 112 + -21 + 4x + 3x = 35 Combine like terms: 112 + -21 = 91 91 + 4x + 3x = 35 Combine like terms: 4x + 3x = 7x 91 + 7x = 35 Solving 91 + 7x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 7x = 35 + -91 Combine like terms: 91 + -91 = 0 0 + 7x = 35 + -91 7x = 35 + -91 Combine like terms: 35 + -91 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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