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Simplifying 2(5x + -5) + -6(x + 8) = 21 Reorder the terms: 2(-5 + 5x) + -6(x + 8) = 21 (-5 * 2 + 5x * 2) + -6(x + 8) = 21 (-10 + 10x) + -6(x + 8) = 21 Reorder the terms: -10 + 10x + -6(8 + x) = 21 -10 + 10x + (8 * -6 + x * -6) = 21 -10 + 10x + (-48 + -6x) = 21 Reorder the terms: -10 + -48 + 10x + -6x = 21 Combine like terms: -10 + -48 = -58 -58 + 10x + -6x = 21 Combine like terms: 10x + -6x = 4x -58 + 4x = 21 Solving -58 + 4x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 4x = 21 + 58 Combine like terms: -58 + 58 = 0 0 + 4x = 21 + 58 4x = 21 + 58 Combine like terms: 21 + 58 = 79 4x = 79 Divide each side by '4'. x = 19.75 Simplifying x = 19.75
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