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Simplifying 11 + -1(10x + -19) + 8x = 12(x + 14) + 8 Reorder the terms: 11 + -1(-19 + 10x) + 8x = 12(x + 14) + 8 11 + (-19 * -1 + 10x * -1) + 8x = 12(x + 14) + 8 11 + (19 + -10x) + 8x = 12(x + 14) + 8 Combine like terms: 11 + 19 = 30 30 + -10x + 8x = 12(x + 14) + 8 Combine like terms: -10x + 8x = -2x 30 + -2x = 12(x + 14) + 8 Reorder the terms: 30 + -2x = 12(14 + x) + 8 30 + -2x = (14 * 12 + x * 12) + 8 30 + -2x = (168 + 12x) + 8 Reorder the terms: 30 + -2x = 168 + 8 + 12x Combine like terms: 168 + 8 = 176 30 + -2x = 176 + 12x Solving 30 + -2x = 176 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + -2x + -12x = 176 + 12x + -12x Combine like terms: -2x + -12x = -14x 30 + -14x = 176 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -14x = 176 + 0 30 + -14x = 176 Add '-30' to each side of the equation. 30 + -30 + -14x = 176 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 176 + -30 -14x = 176 + -30 Combine like terms: 176 + -30 = 146 -14x = 146 Divide each side by '-14'. x = -10.42857143 Simplifying x = -10.42857143
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