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Simplifying -3(x + 1) + 7 = 4(x + 1) + -7 Reorder the terms: -3(1 + x) + 7 = 4(x + 1) + -7 (1 * -3 + x * -3) + 7 = 4(x + 1) + -7 (-3 + -3x) + 7 = 4(x + 1) + -7 Reorder the terms: -3 + 7 + -3x = 4(x + 1) + -7 Combine like terms: -3 + 7 = 4 4 + -3x = 4(x + 1) + -7 Reorder the terms: 4 + -3x = 4(1 + x) + -7 4 + -3x = (1 * 4 + x * 4) + -7 4 + -3x = (4 + 4x) + -7 Reorder the terms: 4 + -3x = 4 + -7 + 4x Combine like terms: 4 + -7 = -3 4 + -3x = -3 + 4x Solving 4 + -3x = -3 + 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. 4 + -3x + -4x = -3 + 4x + -4x Combine like terms: -3x + -4x = -7x 4 + -7x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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