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Simplifying 2(x + -3) + 3x = 49 + -5(2x + 6) Reorder the terms: 2(-3 + x) + 3x = 49 + -5(2x + 6) (-3 * 2 + x * 2) + 3x = 49 + -5(2x + 6) (-6 + 2x) + 3x = 49 + -5(2x + 6) Combine like terms: 2x + 3x = 5x -6 + 5x = 49 + -5(2x + 6) Reorder the terms: -6 + 5x = 49 + -5(6 + 2x) -6 + 5x = 49 + (6 * -5 + 2x * -5) -6 + 5x = 49 + (-30 + -10x) Combine like terms: 49 + -30 = 19 -6 + 5x = 19 + -10x Solving -6 + 5x = 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. -6 + 5x + 10x = 19 + -10x + 10x Combine like terms: 5x + 10x = 15x -6 + 15x = 19 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 15x = 19 + 0 -6 + 15x = 19 Add '6' to each side of the equation. -6 + 6 + 15x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 19 + 6 15x = 19 + 6 Combine like terms: 19 + 6 = 25 15x = 25 Divide each side by '15'. x = 1.666666667 Simplifying x = 1.666666667
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