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Simplifying 7(14 + -1x) + -5x = 2(x + -27) + -16 (14 * 7 + -1x * 7) + -5x = 2(x + -27) + -16 (98 + -7x) + -5x = 2(x + -27) + -16 Combine like terms: -7x + -5x = -12x 98 + -12x = 2(x + -27) + -16 Reorder the terms: 98 + -12x = 2(-27 + x) + -16 98 + -12x = (-27 * 2 + x * 2) + -16 98 + -12x = (-54 + 2x) + -16 Reorder the terms: 98 + -12x = -54 + -16 + 2x Combine like terms: -54 + -16 = -70 98 + -12x = -70 + 2x Solving 98 + -12x = -70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 98 + -12x + -2x = -70 + 2x + -2x Combine like terms: -12x + -2x = -14x 98 + -14x = -70 + 2x + -2x Combine like terms: 2x + -2x = 0 98 + -14x = -70 + 0 98 + -14x = -70 Add '-98' to each side of the equation. 98 + -98 + -14x = -70 + -98 Combine like terms: 98 + -98 = 0 0 + -14x = -70 + -98 -14x = -70 + -98 Combine like terms: -70 + -98 = -168 -14x = -168 Divide each side by '-14'. x = 12 Simplifying x = 12
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