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Simplifying 7(x + 1) + -3x = 4(1 + -1x) + 7 Reorder the terms: 7(1 + x) + -3x = 4(1 + -1x) + 7 (1 * 7 + x * 7) + -3x = 4(1 + -1x) + 7 (7 + 7x) + -3x = 4(1 + -1x) + 7 Combine like terms: 7x + -3x = 4x 7 + 4x = 4(1 + -1x) + 7 7 + 4x = (1 * 4 + -1x * 4) + 7 7 + 4x = (4 + -4x) + 7 Reorder the terms: 7 + 4x = 4 + 7 + -4x Combine like terms: 4 + 7 = 11 7 + 4x = 11 + -4x Solving 7 + 4x = 11 + -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 + 4x = 11 + -4x + 4x Combine like terms: 4x + 4x = 8x 7 + 8x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 8x = 11 + 0 7 + 8x = 11 Add '-7' to each side of the equation. 7 + -7 + 8x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 11 + -7 8x = 11 + -7 Combine like terms: 11 + -7 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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