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Simplifying 13 + -7(x + 12) = 8x + -19 Reorder the terms: 13 + -7(12 + x) = 8x + -19 13 + (12 * -7 + x * -7) = 8x + -19 13 + (-84 + -7x) = 8x + -19 Combine like terms: 13 + -84 = -71 -71 + -7x = 8x + -19 Reorder the terms: -71 + -7x = -19 + 8x Solving -71 + -7x = -19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -71 + -7x + -8x = -19 + 8x + -8x Combine like terms: -7x + -8x = -15x -71 + -15x = -19 + 8x + -8x Combine like terms: 8x + -8x = 0 -71 + -15x = -19 + 0 -71 + -15x = -19 Add '71' to each side of the equation. -71 + 71 + -15x = -19 + 71 Combine like terms: -71 + 71 = 0 0 + -15x = -19 + 71 -15x = -19 + 71 Combine like terms: -19 + 71 = 52 -15x = 52 Divide each side by '-15'. x = -3.466666667 Simplifying x = -3.466666667
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