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Simplifying 5(2x + -9) + 3(-2x + -1) = -3x + 8 Reorder the terms: 5(-9 + 2x) + 3(-2x + -1) = -3x + 8 (-9 * 5 + 2x * 5) + 3(-2x + -1) = -3x + 8 (-45 + 10x) + 3(-2x + -1) = -3x + 8 Reorder the terms: -45 + 10x + 3(-1 + -2x) = -3x + 8 -45 + 10x + (-1 * 3 + -2x * 3) = -3x + 8 -45 + 10x + (-3 + -6x) = -3x + 8 Reorder the terms: -45 + -3 + 10x + -6x = -3x + 8 Combine like terms: -45 + -3 = -48 -48 + 10x + -6x = -3x + 8 Combine like terms: 10x + -6x = 4x -48 + 4x = -3x + 8 Reorder the terms: -48 + 4x = 8 + -3x Solving -48 + 4x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -48 + 4x + 3x = 8 + -3x + 3x Combine like terms: 4x + 3x = 7x -48 + 7x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -48 + 7x = 8 + 0 -48 + 7x = 8 Add '48' to each side of the equation. -48 + 48 + 7x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + 7x = 8 + 48 7x = 8 + 48 Combine like terms: 8 + 48 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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