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Simplifying 7x + 4 = -1(x + -35) Reorder the terms: 4 + 7x = -1(x + -35) Reorder the terms: 4 + 7x = -1(-35 + x) 4 + 7x = (-35 * -1 + x * -1) 4 + 7x = (35 + -1x) Solving 4 + 7x = 35 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + 7x + x = 35 + -1x + x Combine like terms: 7x + x = 8x 4 + 8x = 35 + -1x + x Combine like terms: -1x + x = 0 4 + 8x = 35 + 0 4 + 8x = 35 Add '-4' to each side of the equation. 4 + -4 + 8x = 35 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 35 + -4 8x = 35 + -4 Combine like terms: 35 + -4 = 31 8x = 31 Divide each side by '8'. x = 3.875 Simplifying x = 3.875
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