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Simplifying 14(x + -2) + 3x = 42 + -1(x + -5) Reorder the terms: 14(-2 + x) + 3x = 42 + -1(x + -5) (-2 * 14 + x * 14) + 3x = 42 + -1(x + -5) (-28 + 14x) + 3x = 42 + -1(x + -5) Combine like terms: 14x + 3x = 17x -28 + 17x = 42 + -1(x + -5) Reorder the terms: -28 + 17x = 42 + -1(-5 + x) -28 + 17x = 42 + (-5 * -1 + x * -1) -28 + 17x = 42 + (5 + -1x) Combine like terms: 42 + 5 = 47 -28 + 17x = 47 + -1x Solving -28 + 17x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -28 + 17x + x = 47 + -1x + x Combine like terms: 17x + x = 18x -28 + 18x = 47 + -1x + x Combine like terms: -1x + x = 0 -28 + 18x = 47 + 0 -28 + 18x = 47 Add '28' to each side of the equation. -28 + 28 + 18x = 47 + 28 Combine like terms: -28 + 28 = 0 0 + 18x = 47 + 28 18x = 47 + 28 Combine like terms: 47 + 28 = 75 18x = 75 Divide each side by '18'. x = 4.166666667 Simplifying x = 4.166666667
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