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Simplifying 4(x + 98) = 8(x + -14) Reorder the terms: 4(98 + x) = 8(x + -14) (98 * 4 + x * 4) = 8(x + -14) (392 + 4x) = 8(x + -14) Reorder the terms: 392 + 4x = 8(-14 + x) 392 + 4x = (-14 * 8 + x * 8) 392 + 4x = (-112 + 8x) Solving 392 + 4x = -112 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 392 + 4x + -8x = -112 + 8x + -8x Combine like terms: 4x + -8x = -4x 392 + -4x = -112 + 8x + -8x Combine like terms: 8x + -8x = 0 392 + -4x = -112 + 0 392 + -4x = -112 Add '-392' to each side of the equation. 392 + -392 + -4x = -112 + -392 Combine like terms: 392 + -392 = 0 0 + -4x = -112 + -392 -4x = -112 + -392 Combine like terms: -112 + -392 = -504 -4x = -504 Divide each side by '-4'. x = 126 Simplifying x = 126
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