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Simplifying x + 1(x + 4) = x + 6(x) Reorder the terms: x + 1(4 + x) = x + 6(x) x + (4 * 1 + x * 1) = x + 6(x) x + (4 + 1x) = x + 6(x) Reorder the terms: 4 + x + 1x = x + 6(x) Combine like terms: x + 1x = 2x 4 + 2x = x + 6(x) Combine like terms: x + 6x = 7x 4 + 2x = 7x Solving 4 + 2x = 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 + 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = 0 Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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