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Simplifying 2(3x + -7) + -5(2x + 1) = 2 + -3(x + 2) Reorder the terms: 2(-7 + 3x) + -5(2x + 1) = 2 + -3(x + 2) (-7 * 2 + 3x * 2) + -5(2x + 1) = 2 + -3(x + 2) (-14 + 6x) + -5(2x + 1) = 2 + -3(x + 2) Reorder the terms: -14 + 6x + -5(1 + 2x) = 2 + -3(x + 2) -14 + 6x + (1 * -5 + 2x * -5) = 2 + -3(x + 2) -14 + 6x + (-5 + -10x) = 2 + -3(x + 2) Reorder the terms: -14 + -5 + 6x + -10x = 2 + -3(x + 2) Combine like terms: -14 + -5 = -19 -19 + 6x + -10x = 2 + -3(x + 2) Combine like terms: 6x + -10x = -4x -19 + -4x = 2 + -3(x + 2) Reorder the terms: -19 + -4x = 2 + -3(2 + x) -19 + -4x = 2 + (2 * -3 + x * -3) -19 + -4x = 2 + (-6 + -3x) Combine like terms: 2 + -6 = -4 -19 + -4x = -4 + -3x Solving -19 + -4x = -4 + -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. -19 + -4x + 3x = -4 + -3x + 3x Combine like terms: -4x + 3x = -1x -19 + -1x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 -19 + -1x = -4 + 0 -19 + -1x = -4 Add '19' to each side of the equation. -19 + 19 + -1x = -4 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -4 + 19 -1x = -4 + 19 Combine like terms: -4 + 19 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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