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Simplifying 18(14x + 16) = -34(x + -4) Reorder the terms: 18(16 + 14x) = -34(x + -4) (16 * 18 + 14x * 18) = -34(x + -4) (288 + 252x) = -34(x + -4) Reorder the terms: 288 + 252x = -34(-4 + x) 288 + 252x = (-4 * -34 + x * -34) 288 + 252x = (136 + -34x) Solving 288 + 252x = 136 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 288 + 252x + 34x = 136 + -34x + 34x Combine like terms: 252x + 34x = 286x 288 + 286x = 136 + -34x + 34x Combine like terms: -34x + 34x = 0 288 + 286x = 136 + 0 288 + 286x = 136 Add '-288' to each side of the equation. 288 + -288 + 286x = 136 + -288 Combine like terms: 288 + -288 = 0 0 + 286x = 136 + -288 286x = 136 + -288 Combine like terms: 136 + -288 = -152 286x = -152 Divide each side by '286'. x = -0.5314685315 Simplifying x = -0.5314685315
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