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Simplifying 3(x + -5) + -14 = 2(x + -7) + 4 Reorder the terms: 3(-5 + x) + -14 = 2(x + -7) + 4 (-5 * 3 + x * 3) + -14 = 2(x + -7) + 4 (-15 + 3x) + -14 = 2(x + -7) + 4 Reorder the terms: -15 + -14 + 3x = 2(x + -7) + 4 Combine like terms: -15 + -14 = -29 -29 + 3x = 2(x + -7) + 4 Reorder the terms: -29 + 3x = 2(-7 + x) + 4 -29 + 3x = (-7 * 2 + x * 2) + 4 -29 + 3x = (-14 + 2x) + 4 Reorder the terms: -29 + 3x = -14 + 4 + 2x Combine like terms: -14 + 4 = -10 -29 + 3x = -10 + 2x Solving -29 + 3x = -10 + 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. -29 + 3x + -2x = -10 + 2x + -2x Combine like terms: 3x + -2x = 1x -29 + 1x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 1x = -10 + 0 -29 + 1x = -10 Add '29' to each side of the equation. -29 + 29 + 1x = -10 + 29 Combine like terms: -29 + 29 = 0 0 + 1x = -10 + 29 1x = -10 + 29 Combine like terms: -10 + 29 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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