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Simplifying 2(x + -5) + -3(2x + 1) = 3(2 + -1x) + 5 Reorder the terms: 2(-5 + x) + -3(2x + 1) = 3(2 + -1x) + 5 (-5 * 2 + x * 2) + -3(2x + 1) = 3(2 + -1x) + 5 (-10 + 2x) + -3(2x + 1) = 3(2 + -1x) + 5 Reorder the terms: -10 + 2x + -3(1 + 2x) = 3(2 + -1x) + 5 -10 + 2x + (1 * -3 + 2x * -3) = 3(2 + -1x) + 5 -10 + 2x + (-3 + -6x) = 3(2 + -1x) + 5 Reorder the terms: -10 + -3 + 2x + -6x = 3(2 + -1x) + 5 Combine like terms: -10 + -3 = -13 -13 + 2x + -6x = 3(2 + -1x) + 5 Combine like terms: 2x + -6x = -4x -13 + -4x = 3(2 + -1x) + 5 -13 + -4x = (2 * 3 + -1x * 3) + 5 -13 + -4x = (6 + -3x) + 5 Reorder the terms: -13 + -4x = 6 + 5 + -3x Combine like terms: 6 + 5 = 11 -13 + -4x = 11 + -3x Solving -13 + -4x = 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. -13 + -4x + 3x = 11 + -3x + 3x Combine like terms: -4x + 3x = -1x -13 + -1x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + -1x = 11 + 0 -13 + -1x = 11 Add '13' to each side of the equation. -13 + 13 + -1x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 11 + 13 -1x = 11 + 13 Combine like terms: 11 + 13 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24
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