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Simplifying 5(13 + -2x) = -19 + -3x (13 * 5 + -2x * 5) = -19 + -3x (65 + -10x) = -19 + -3x Solving 65 + -10x = -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. 65 + -10x + 3x = -19 + -3x + 3x Combine like terms: -10x + 3x = -7x 65 + -7x = -19 + -3x + 3x Combine like terms: -3x + 3x = 0 65 + -7x = -19 + 0 65 + -7x = -19 Add '-65' to each side of the equation. 65 + -65 + -7x = -19 + -65 Combine like terms: 65 + -65 = 0 0 + -7x = -19 + -65 -7x = -19 + -65 Combine like terms: -19 + -65 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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