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Simplifying 3(x + -14) + -2(x + 16) = 14 + -1(x + -2) Reorder the terms: 3(-14 + x) + -2(x + 16) = 14 + -1(x + -2) (-14 * 3 + x * 3) + -2(x + 16) = 14 + -1(x + -2) (-42 + 3x) + -2(x + 16) = 14 + -1(x + -2) Reorder the terms: -42 + 3x + -2(16 + x) = 14 + -1(x + -2) -42 + 3x + (16 * -2 + x * -2) = 14 + -1(x + -2) -42 + 3x + (-32 + -2x) = 14 + -1(x + -2) Reorder the terms: -42 + -32 + 3x + -2x = 14 + -1(x + -2) Combine like terms: -42 + -32 = -74 -74 + 3x + -2x = 14 + -1(x + -2) Combine like terms: 3x + -2x = 1x -74 + 1x = 14 + -1(x + -2) Reorder the terms: -74 + 1x = 14 + -1(-2 + x) -74 + 1x = 14 + (-2 * -1 + x * -1) -74 + 1x = 14 + (2 + -1x) Combine like terms: 14 + 2 = 16 -74 + 1x = 16 + -1x Solving -74 + 1x = 16 + -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. -74 + 1x + x = 16 + -1x + x Combine like terms: 1x + x = 2x -74 + 2x = 16 + -1x + x Combine like terms: -1x + x = 0 -74 + 2x = 16 + 0 -74 + 2x = 16 Add '74' to each side of the equation. -74 + 74 + 2x = 16 + 74 Combine like terms: -74 + 74 = 0 0 + 2x = 16 + 74 2x = 16 + 74 Combine like terms: 16 + 74 = 90 2x = 90 Divide each side by '2'. x = 45 Simplifying x = 45
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