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Simplifying 7 + -12(15x + 19) = 19x + -22 Reorder the terms: 7 + -12(19 + 15x) = 19x + -22 7 + (19 * -12 + 15x * -12) = 19x + -22 7 + (-228 + -180x) = 19x + -22 Combine like terms: 7 + -228 = -221 -221 + -180x = 19x + -22 Reorder the terms: -221 + -180x = -22 + 19x Solving -221 + -180x = -22 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -221 + -180x + -19x = -22 + 19x + -19x Combine like terms: -180x + -19x = -199x -221 + -199x = -22 + 19x + -19x Combine like terms: 19x + -19x = 0 -221 + -199x = -22 + 0 -221 + -199x = -22 Add '221' to each side of the equation. -221 + 221 + -199x = -22 + 221 Combine like terms: -221 + 221 = 0 0 + -199x = -22 + 221 -199x = -22 + 221 Combine like terms: -22 + 221 = 199 -199x = 199 Divide each side by '-199'. x = -1 Simplifying x = -1
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