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Simplifying 2(5x + -9) + 2 = 4 + -3(2x + -5) Reorder the terms: 2(-9 + 5x) + 2 = 4 + -3(2x + -5) (-9 * 2 + 5x * 2) + 2 = 4 + -3(2x + -5) (-18 + 10x) + 2 = 4 + -3(2x + -5) Reorder the terms: -18 + 2 + 10x = 4 + -3(2x + -5) Combine like terms: -18 + 2 = -16 -16 + 10x = 4 + -3(2x + -5) Reorder the terms: -16 + 10x = 4 + -3(-5 + 2x) -16 + 10x = 4 + (-5 * -3 + 2x * -3) -16 + 10x = 4 + (15 + -6x) Combine like terms: 4 + 15 = 19 -16 + 10x = 19 + -6x Solving -16 + 10x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -16 + 10x + 6x = 19 + -6x + 6x Combine like terms: 10x + 6x = 16x -16 + 16x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 16x = 19 + 0 -16 + 16x = 19 Add '16' to each side of the equation. -16 + 16 + 16x = 19 + 16 Combine like terms: -16 + 16 = 0 0 + 16x = 19 + 16 16x = 19 + 16 Combine like terms: 19 + 16 = 35 16x = 35 Divide each side by '16'. x = 2.1875 Simplifying x = 2.1875
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