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Simplifying 5x + 8(x + -14) = 5(x + -16) Reorder the terms: 5x + 8(-14 + x) = 5(x + -16) 5x + (-14 * 8 + x * 8) = 5(x + -16) 5x + (-112 + 8x) = 5(x + -16) Reorder the terms: -112 + 5x + 8x = 5(x + -16) Combine like terms: 5x + 8x = 13x -112 + 13x = 5(x + -16) Reorder the terms: -112 + 13x = 5(-16 + x) -112 + 13x = (-16 * 5 + x * 5) -112 + 13x = (-80 + 5x) Solving -112 + 13x = -80 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -112 + 13x + -5x = -80 + 5x + -5x Combine like terms: 13x + -5x = 8x -112 + 8x = -80 + 5x + -5x Combine like terms: 5x + -5x = 0 -112 + 8x = -80 + 0 -112 + 8x = -80 Add '112' to each side of the equation. -112 + 112 + 8x = -80 + 112 Combine like terms: -112 + 112 = 0 0 + 8x = -80 + 112 8x = -80 + 112 Combine like terms: -80 + 112 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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