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