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Simplifying 7(x + -10) + -12 = 19x + -130 Reorder the terms: 7(-10 + x) + -12 = 19x + -130 (-10 * 7 + x * 7) + -12 = 19x + -130 (-70 + 7x) + -12 = 19x + -130 Reorder the terms: -70 + -12 + 7x = 19x + -130 Combine like terms: -70 + -12 = -82 -82 + 7x = 19x + -130 Reorder the terms: -82 + 7x = -130 + 19x Solving -82 + 7x = -130 + 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. -82 + 7x + -19x = -130 + 19x + -19x Combine like terms: 7x + -19x = -12x -82 + -12x = -130 + 19x + -19x Combine like terms: 19x + -19x = 0 -82 + -12x = -130 + 0 -82 + -12x = -130 Add '82' to each side of the equation. -82 + 82 + -12x = -130 + 82 Combine like terms: -82 + 82 = 0 0 + -12x = -130 + 82 -12x = -130 + 82 Combine like terms: -130 + 82 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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