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Simplifying 8x + -2(x + 5) = 5(2x + -6) + -8 Reorder the terms: 8x + -2(5 + x) = 5(2x + -6) + -8 8x + (5 * -2 + x * -2) = 5(2x + -6) + -8 8x + (-10 + -2x) = 5(2x + -6) + -8 Reorder the terms: -10 + 8x + -2x = 5(2x + -6) + -8 Combine like terms: 8x + -2x = 6x -10 + 6x = 5(2x + -6) + -8 Reorder the terms: -10 + 6x = 5(-6 + 2x) + -8 -10 + 6x = (-6 * 5 + 2x * 5) + -8 -10 + 6x = (-30 + 10x) + -8 Reorder the terms: -10 + 6x = -30 + -8 + 10x Combine like terms: -30 + -8 = -38 -10 + 6x = -38 + 10x Solving -10 + 6x = -38 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 6x + -10x = -38 + 10x + -10x Combine like terms: 6x + -10x = -4x -10 + -4x = -38 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -4x = -38 + 0 -10 + -4x = -38 Add '10' to each side of the equation. -10 + 10 + -4x = -38 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -38 + 10 -4x = -38 + 10 Combine like terms: -38 + 10 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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