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Simplifying 6x + -19 = 5(3 + 2x) Reorder the terms: -19 + 6x = 5(3 + 2x) -19 + 6x = (3 * 5 + 2x * 5) -19 + 6x = (15 + 10x) Solving -19 + 6x = 15 + 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. -19 + 6x + -10x = 15 + 10x + -10x Combine like terms: 6x + -10x = -4x -19 + -4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -19 + -4x = 15 + 0 -19 + -4x = 15 Add '19' to each side of the equation. -19 + 19 + -4x = 15 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 15 + 19 -4x = 15 + 19 Combine like terms: 15 + 19 = 34 -4x = 34 Divide each side by '-4'. x = -8.5 Simplifying x = -8.5
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