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Simplifying 8(x + -5) = 14(x + -17) Reorder the terms: 8(-5 + x) = 14(x + -17) (-5 * 8 + x * 8) = 14(x + -17) (-40 + 8x) = 14(x + -17) Reorder the terms: -40 + 8x = 14(-17 + x) -40 + 8x = (-17 * 14 + x * 14) -40 + 8x = (-238 + 14x) Solving -40 + 8x = -238 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -40 + 8x + -14x = -238 + 14x + -14x Combine like terms: 8x + -14x = -6x -40 + -6x = -238 + 14x + -14x Combine like terms: 14x + -14x = 0 -40 + -6x = -238 + 0 -40 + -6x = -238 Add '40' to each side of the equation. -40 + 40 + -6x = -238 + 40 Combine like terms: -40 + 40 = 0 0 + -6x = -238 + 40 -6x = -238 + 40 Combine like terms: -238 + 40 = -198 -6x = -198 Divide each side by '-6'. x = 33 Simplifying x = 33
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