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Simplifying 0.5(6x + 12) + -2(x + -7) = 19 Reorder the terms: 0.5(12 + 6x) + -2(x + -7) = 19 (12 * 0.5 + 6x * 0.5) + -2(x + -7) = 19 (6 + 3x) + -2(x + -7) = 19 Reorder the terms: 6 + 3x + -2(-7 + x) = 19 6 + 3x + (-7 * -2 + x * -2) = 19 6 + 3x + (14 + -2x) = 19 Reorder the terms: 6 + 14 + 3x + -2x = 19 Combine like terms: 6 + 14 = 20 20 + 3x + -2x = 19 Combine like terms: 3x + -2x = 1x 20 + 1x = 19 Solving 20 + 1x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1x = 19 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 19 + -20 1x = 19 + -20 Combine like terms: 19 + -20 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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