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Simplifying 5(7 + -1x) + 3(2x + -12) = 16 (7 * 5 + -1x * 5) + 3(2x + -12) = 16 (35 + -5x) + 3(2x + -12) = 16 Reorder the terms: 35 + -5x + 3(-12 + 2x) = 16 35 + -5x + (-12 * 3 + 2x * 3) = 16 35 + -5x + (-36 + 6x) = 16 Reorder the terms: 35 + -36 + -5x + 6x = 16 Combine like terms: 35 + -36 = -1 -1 + -5x + 6x = 16 Combine like terms: -5x + 6x = 1x -1 + 1x = 16 Solving -1 + 1x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 16 + 1 1x = 16 + 1 Combine like terms: 16 + 1 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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