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Simplifying 19(x + 8) = 3(x + 2) + 130 Reorder the terms: 19(8 + x) = 3(x + 2) + 130 (8 * 19 + x * 19) = 3(x + 2) + 130 (152 + 19x) = 3(x + 2) + 130 Reorder the terms: 152 + 19x = 3(2 + x) + 130 152 + 19x = (2 * 3 + x * 3) + 130 152 + 19x = (6 + 3x) + 130 Reorder the terms: 152 + 19x = 6 + 130 + 3x Combine like terms: 6 + 130 = 136 152 + 19x = 136 + 3x Solving 152 + 19x = 136 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 152 + 19x + -3x = 136 + 3x + -3x Combine like terms: 19x + -3x = 16x 152 + 16x = 136 + 3x + -3x Combine like terms: 3x + -3x = 0 152 + 16x = 136 + 0 152 + 16x = 136 Add '-152' to each side of the equation. 152 + -152 + 16x = 136 + -152 Combine like terms: 152 + -152 = 0 0 + 16x = 136 + -152 16x = 136 + -152 Combine like terms: 136 + -152 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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