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Simplifying 5(x + -6) + 16 = 3(x + -4) Reorder the terms: 5(-6 + x) + 16 = 3(x + -4) (-6 * 5 + x * 5) + 16 = 3(x + -4) (-30 + 5x) + 16 = 3(x + -4) Reorder the terms: -30 + 16 + 5x = 3(x + -4) Combine like terms: -30 + 16 = -14 -14 + 5x = 3(x + -4) Reorder the terms: -14 + 5x = 3(-4 + x) -14 + 5x = (-4 * 3 + x * 3) -14 + 5x = (-12 + 3x) Solving -14 + 5x = -12 + 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. -14 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -14 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 2x = -12 + 0 -14 + 2x = -12 Add '14' to each side of the equation. -14 + 14 + 2x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -12 + 14 2x = -12 + 14 Combine like terms: -12 + 14 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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