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Simplifying 3(x + -3) + -14 = 2(x + -7) + 10 Reorder the terms: 3(-3 + x) + -14 = 2(x + -7) + 10 (-3 * 3 + x * 3) + -14 = 2(x + -7) + 10 (-9 + 3x) + -14 = 2(x + -7) + 10 Reorder the terms: -9 + -14 + 3x = 2(x + -7) + 10 Combine like terms: -9 + -14 = -23 -23 + 3x = 2(x + -7) + 10 Reorder the terms: -23 + 3x = 2(-7 + x) + 10 -23 + 3x = (-7 * 2 + x * 2) + 10 -23 + 3x = (-14 + 2x) + 10 Reorder the terms: -23 + 3x = -14 + 10 + 2x Combine like terms: -14 + 10 = -4 -23 + 3x = -4 + 2x Solving -23 + 3x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -23 + 3x + -2x = -4 + 2x + -2x Combine like terms: 3x + -2x = 1x -23 + 1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 1x = -4 + 0 -23 + 1x = -4 Add '23' to each side of the equation. -23 + 23 + 1x = -4 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = -4 + 23 1x = -4 + 23 Combine like terms: -4 + 23 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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