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Simplifying 5 + 3(2x + -3) = 19 + -1(3x + -17) Reorder the terms: 5 + 3(-3 + 2x) = 19 + -1(3x + -17) 5 + (-3 * 3 + 2x * 3) = 19 + -1(3x + -17) 5 + (-9 + 6x) = 19 + -1(3x + -17) Combine like terms: 5 + -9 = -4 -4 + 6x = 19 + -1(3x + -17) Reorder the terms: -4 + 6x = 19 + -1(-17 + 3x) -4 + 6x = 19 + (-17 * -1 + 3x * -1) -4 + 6x = 19 + (17 + -3x) Combine like terms: 19 + 17 = 36 -4 + 6x = 36 + -3x Solving -4 + 6x = 36 + -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. -4 + 6x + 3x = 36 + -3x + 3x Combine like terms: 6x + 3x = 9x -4 + 9x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 9x = 36 + 0 -4 + 9x = 36 Add '4' to each side of the equation. -4 + 4 + 9x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 36 + 4 9x = 36 + 4 Combine like terms: 36 + 4 = 40 9x = 40 Divide each side by '9'. x = 4.444444444 Simplifying x = 4.444444444
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