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Simplifying 7(x + 5) + -4x = 7(x + -1) + 30 Reorder the terms: 7(5 + x) + -4x = 7(x + -1) + 30 (5 * 7 + x * 7) + -4x = 7(x + -1) + 30 (35 + 7x) + -4x = 7(x + -1) + 30 Combine like terms: 7x + -4x = 3x 35 + 3x = 7(x + -1) + 30 Reorder the terms: 35 + 3x = 7(-1 + x) + 30 35 + 3x = (-1 * 7 + x * 7) + 30 35 + 3x = (-7 + 7x) + 30 Reorder the terms: 35 + 3x = -7 + 30 + 7x Combine like terms: -7 + 30 = 23 35 + 3x = 23 + 7x Solving 35 + 3x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + 3x + -7x = 23 + 7x + -7x Combine like terms: 3x + -7x = -4x 35 + -4x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -4x = 23 + 0 35 + -4x = 23 Add '-35' to each side of the equation. 35 + -35 + -4x = 23 + -35 Combine like terms: 35 + -35 = 0 0 + -4x = 23 + -35 -4x = 23 + -35 Combine like terms: 23 + -35 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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