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Simplifying 14(3 + -10x) + -13(10 + -6x) = 98 (3 * 14 + -10x * 14) + -13(10 + -6x) = 98 (42 + -140x) + -13(10 + -6x) = 98 42 + -140x + (10 * -13 + -6x * -13) = 98 42 + -140x + (-130 + 78x) = 98 Reorder the terms: 42 + -130 + -140x + 78x = 98 Combine like terms: 42 + -130 = -88 -88 + -140x + 78x = 98 Combine like terms: -140x + 78x = -62x -88 + -62x = 98 Solving -88 + -62x = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + -62x = 98 + 88 Combine like terms: -88 + 88 = 0 0 + -62x = 98 + 88 -62x = 98 + 88 Combine like terms: 98 + 88 = 186 -62x = 186 Divide each side by '-62'. x = -3 Simplifying x = -3
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