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Simplifying 5(x + 2) + -4x = 8x + -1(2 + x) Reorder the terms: 5(2 + x) + -4x = 8x + -1(2 + x) (2 * 5 + x * 5) + -4x = 8x + -1(2 + x) (10 + 5x) + -4x = 8x + -1(2 + x) Combine like terms: 5x + -4x = 1x 10 + 1x = 8x + -1(2 + x) 10 + 1x = 8x + (2 * -1 + x * -1) 10 + 1x = 8x + (-2 + -1x) Reorder the terms: 10 + 1x = -2 + 8x + -1x Combine like terms: 8x + -1x = 7x 10 + 1x = -2 + 7x Solving 10 + 1x = -2 + 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. 10 + 1x + -7x = -2 + 7x + -7x Combine like terms: 1x + -7x = -6x 10 + -6x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -6x = -2 + 0 10 + -6x = -2 Add '-10' to each side of the equation. 10 + -10 + -6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -2 + -10 -6x = -2 + -10 Combine like terms: -2 + -10 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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