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Simplifying 5(2x + -1) + -3(4x + -5) = -3x + 11 Reorder the terms: 5(-1 + 2x) + -3(4x + -5) = -3x + 11 (-1 * 5 + 2x * 5) + -3(4x + -5) = -3x + 11 (-5 + 10x) + -3(4x + -5) = -3x + 11 Reorder the terms: -5 + 10x + -3(-5 + 4x) = -3x + 11 -5 + 10x + (-5 * -3 + 4x * -3) = -3x + 11 -5 + 10x + (15 + -12x) = -3x + 11 Reorder the terms: -5 + 15 + 10x + -12x = -3x + 11 Combine like terms: -5 + 15 = 10 10 + 10x + -12x = -3x + 11 Combine like terms: 10x + -12x = -2x 10 + -2x = -3x + 11 Reorder the terms: 10 + -2x = 11 + -3x Solving 10 + -2x = 11 + -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. 10 + -2x + 3x = 11 + -3x + 3x Combine like terms: -2x + 3x = 1x 10 + 1x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 1x = 11 + 0 10 + 1x = 11 Add '-10' to each side of the equation. 10 + -10 + 1x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 11 + -10 1x = 11 + -10 Combine like terms: 11 + -10 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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