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Simplifying 16 = 5(x + -3) + -1(x + -7) Reorder the terms: 16 = 5(-3 + x) + -1(x + -7) 16 = (-3 * 5 + x * 5) + -1(x + -7) 16 = (-15 + 5x) + -1(x + -7) Reorder the terms: 16 = -15 + 5x + -1(-7 + x) 16 = -15 + 5x + (-7 * -1 + x * -1) 16 = -15 + 5x + (7 + -1x) Reorder the terms: 16 = -15 + 7 + 5x + -1x Combine like terms: -15 + 7 = -8 16 = -8 + 5x + -1x Combine like terms: 5x + -1x = 4x 16 = -8 + 4x Solving 16 = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + -4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -4x = -8 + 0 16 + -4x = -8 Add '-16' to each side of the equation. 16 + -16 + -4x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = -8 + -16 -4x = -8 + -16 Combine like terms: -8 + -16 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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