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Simplifying 5(1 + -2x) + -4(x + -3) = 19 + -10x (1 * 5 + -2x * 5) + -4(x + -3) = 19 + -10x (5 + -10x) + -4(x + -3) = 19 + -10x Reorder the terms: 5 + -10x + -4(-3 + x) = 19 + -10x 5 + -10x + (-3 * -4 + x * -4) = 19 + -10x 5 + -10x + (12 + -4x) = 19 + -10x Reorder the terms: 5 + 12 + -10x + -4x = 19 + -10x Combine like terms: 5 + 12 = 17 17 + -10x + -4x = 19 + -10x Combine like terms: -10x + -4x = -14x 17 + -14x = 19 + -10x Solving 17 + -14x = 19 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 17 + -14x + 10x = 19 + -10x + 10x Combine like terms: -14x + 10x = -4x 17 + -4x = 19 + -10x + 10x Combine like terms: -10x + 10x = 0 17 + -4x = 19 + 0 17 + -4x = 19 Add '-17' to each side of the equation. 17 + -17 + -4x = 19 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 19 + -17 -4x = 19 + -17 Combine like terms: 19 + -17 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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