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Simplifying 2(x + 4) + 8x + -7 = 10x + -2(2x + -5) Reorder the terms: 2(4 + x) + 8x + -7 = 10x + -2(2x + -5) (4 * 2 + x * 2) + 8x + -7 = 10x + -2(2x + -5) (8 + 2x) + 8x + -7 = 10x + -2(2x + -5) Reorder the terms: 8 + -7 + 2x + 8x = 10x + -2(2x + -5) Combine like terms: 8 + -7 = 1 1 + 2x + 8x = 10x + -2(2x + -5) Combine like terms: 2x + 8x = 10x 1 + 10x = 10x + -2(2x + -5) Reorder the terms: 1 + 10x = 10x + -2(-5 + 2x) 1 + 10x = 10x + (-5 * -2 + 2x * -2) 1 + 10x = 10x + (10 + -4x) Reorder the terms: 1 + 10x = 10 + 10x + -4x Combine like terms: 10x + -4x = 6x 1 + 10x = 10 + 6x Solving 1 + 10x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 10x + -6x = 10 + 6x + -6x Combine like terms: 10x + -6x = 4x 1 + 4x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 4x = 10 + 0 1 + 4x = 10 Add '-1' to each side of the equation. 1 + -1 + 4x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 10 + -1 4x = 10 + -1 Combine like terms: 10 + -1 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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