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Simplifying -6x + 7 + 6x = 3(x + 1) + -7(x + 4) Reorder the terms: 7 + -6x + 6x = 3(x + 1) + -7(x + 4) Combine like terms: -6x + 6x = 0 7 + 0 = 3(x + 1) + -7(x + 4) 7 = 3(x + 1) + -7(x + 4) Reorder the terms: 7 = 3(1 + x) + -7(x + 4) 7 = (1 * 3 + x * 3) + -7(x + 4) 7 = (3 + 3x) + -7(x + 4) Reorder the terms: 7 = 3 + 3x + -7(4 + x) 7 = 3 + 3x + (4 * -7 + x * -7) 7 = 3 + 3x + (-28 + -7x) Reorder the terms: 7 = 3 + -28 + 3x + -7x Combine like terms: 3 + -28 = -25 7 = -25 + 3x + -7x Combine like terms: 3x + -7x = -4x 7 = -25 + -4x Solving 7 = -25 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 4x = -25 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 4x = -25 + 0 7 + 4x = -25 Add '-7' to each side of the equation. 7 + -7 + 4x = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -25 + -7 4x = -25 + -7 Combine like terms: -25 + -7 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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