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Simplifying 7(x + -4) + -2(x + 42) = 3(x + -14) Reorder the terms: 7(-4 + x) + -2(x + 42) = 3(x + -14) (-4 * 7 + x * 7) + -2(x + 42) = 3(x + -14) (-28 + 7x) + -2(x + 42) = 3(x + -14) Reorder the terms: -28 + 7x + -2(42 + x) = 3(x + -14) -28 + 7x + (42 * -2 + x * -2) = 3(x + -14) -28 + 7x + (-84 + -2x) = 3(x + -14) Reorder the terms: -28 + -84 + 7x + -2x = 3(x + -14) Combine like terms: -28 + -84 = -112 -112 + 7x + -2x = 3(x + -14) Combine like terms: 7x + -2x = 5x -112 + 5x = 3(x + -14) Reorder the terms: -112 + 5x = 3(-14 + x) -112 + 5x = (-14 * 3 + x * 3) -112 + 5x = (-42 + 3x) Solving -112 + 5x = -42 + 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. -112 + 5x + -3x = -42 + 3x + -3x Combine like terms: 5x + -3x = 2x -112 + 2x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -112 + 2x = -42 + 0 -112 + 2x = -42 Add '112' to each side of the equation. -112 + 112 + 2x = -42 + 112 Combine like terms: -112 + 112 = 0 0 + 2x = -42 + 112 2x = -42 + 112 Combine like terms: -42 + 112 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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