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Simplifying 2(2x + 1) + -3(x + -5) = 6x + -3 Reorder the terms: 2(1 + 2x) + -3(x + -5) = 6x + -3 (1 * 2 + 2x * 2) + -3(x + -5) = 6x + -3 (2 + 4x) + -3(x + -5) = 6x + -3 Reorder the terms: 2 + 4x + -3(-5 + x) = 6x + -3 2 + 4x + (-5 * -3 + x * -3) = 6x + -3 2 + 4x + (15 + -3x) = 6x + -3 Reorder the terms: 2 + 15 + 4x + -3x = 6x + -3 Combine like terms: 2 + 15 = 17 17 + 4x + -3x = 6x + -3 Combine like terms: 4x + -3x = 1x 17 + 1x = 6x + -3 Reorder the terms: 17 + 1x = -3 + 6x Solving 17 + 1x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 1x + -6x = -3 + 6x + -6x Combine like terms: 1x + -6x = -5x 17 + -5x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + -5x = -3 + 0 17 + -5x = -3 Add '-17' to each side of the equation. 17 + -17 + -5x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = -3 + -17 -5x = -3 + -17 Combine like terms: -3 + -17 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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