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Simplifying -0.5(6x + -10) + -2x = 19 + -3x Reorder the terms: -0.5(-10 + 6x) + -2x = 19 + -3x (-10 * -0.5 + 6x * -0.5) + -2x = 19 + -3x (5 + -3x) + -2x = 19 + -3x Combine like terms: -3x + -2x = -5x 5 + -5x = 19 + -3x Solving 5 + -5x = 19 + -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. 5 + -5x + 3x = 19 + -3x + 3x Combine like terms: -5x + 3x = -2x 5 + -2x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + -2x = 19 + 0 5 + -2x = 19 Add '-5' to each side of the equation. 5 + -5 + -2x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 19 + -5 -2x = 19 + -5 Combine like terms: 19 + -5 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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