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Simplifying 2(x + 4) = -6x + 13 + 10x + (-9) Reorder the terms: 2(4 + x) = -6x + 13 + 10x + (-9) (4 * 2 + x * 2) = -6x + 13 + 10x + (-9) (8 + 2x) = -6x + 13 + 10x + (-9) 8 + 2x = -6x + 13 + 10x + -9 Reorder the terms: 8 + 2x = 13 + -9 + -6x + 10x Combine like terms: 13 + -9 = 4 8 + 2x = 4 + -6x + 10x Combine like terms: -6x + 10x = 4x 8 + 2x = 4 + 4x Solving 8 + 2x = 4 + 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. 8 + 2x + -4x = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 4 + 0 8 + -2x = 4 Add '-8' to each side of the equation. 8 + -8 + -2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 4 + -8 -2x = 4 + -8 Combine like terms: 4 + -8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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