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Simplifying 12(x + -6) + -4 = 19x + -160 Reorder the terms: 12(-6 + x) + -4 = 19x + -160 (-6 * 12 + x * 12) + -4 = 19x + -160 (-72 + 12x) + -4 = 19x + -160 Reorder the terms: -72 + -4 + 12x = 19x + -160 Combine like terms: -72 + -4 = -76 -76 + 12x = 19x + -160 Reorder the terms: -76 + 12x = -160 + 19x Solving -76 + 12x = -160 + 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. -76 + 12x + -19x = -160 + 19x + -19x Combine like terms: 12x + -19x = -7x -76 + -7x = -160 + 19x + -19x Combine like terms: 19x + -19x = 0 -76 + -7x = -160 + 0 -76 + -7x = -160 Add '76' to each side of the equation. -76 + 76 + -7x = -160 + 76 Combine like terms: -76 + 76 = 0 0 + -7x = -160 + 76 -7x = -160 + 76 Combine like terms: -160 + 76 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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