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Simplifying 2(3x + -5) + 4 = 15 + -1(9x + -4) Reorder the terms: 2(-5 + 3x) + 4 = 15 + -1(9x + -4) (-5 * 2 + 3x * 2) + 4 = 15 + -1(9x + -4) (-10 + 6x) + 4 = 15 + -1(9x + -4) Reorder the terms: -10 + 4 + 6x = 15 + -1(9x + -4) Combine like terms: -10 + 4 = -6 -6 + 6x = 15 + -1(9x + -4) Reorder the terms: -6 + 6x = 15 + -1(-4 + 9x) -6 + 6x = 15 + (-4 * -1 + 9x * -1) -6 + 6x = 15 + (4 + -9x) Combine like terms: 15 + 4 = 19 -6 + 6x = 19 + -9x Solving -6 + 6x = 19 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6 + 6x + 9x = 19 + -9x + 9x Combine like terms: 6x + 9x = 15x -6 + 15x = 19 + -9x + 9x Combine like terms: -9x + 9x = 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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