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Simplifying 5(3 + -2x) + -3(4 + -2x) = 19 (3 * 5 + -2x * 5) + -3(4 + -2x) = 19 (15 + -10x) + -3(4 + -2x) = 19 15 + -10x + (4 * -3 + -2x * -3) = 19 15 + -10x + (-12 + 6x) = 19 Reorder the terms: 15 + -12 + -10x + 6x = 19 Combine like terms: 15 + -12 = 3 3 + -10x + 6x = 19 Combine like terms: -10x + 6x = -4x 3 + -4x = 19 Solving 3 + -4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 19 + -3 -4x = 19 + -3 Combine like terms: 19 + -3 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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