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Simplifying 10x + -9 + -11 + -1x = -2(2x + 4) + -3(2x + -2) Reorder the terms: -9 + -11 + 10x + -1x = -2(2x + 4) + -3(2x + -2) Combine like terms: -9 + -11 = -20 -20 + 10x + -1x = -2(2x + 4) + -3(2x + -2) Combine like terms: 10x + -1x = 9x -20 + 9x = -2(2x + 4) + -3(2x + -2) Reorder the terms: -20 + 9x = -2(4 + 2x) + -3(2x + -2) -20 + 9x = (4 * -2 + 2x * -2) + -3(2x + -2) -20 + 9x = (-8 + -4x) + -3(2x + -2) Reorder the terms: -20 + 9x = -8 + -4x + -3(-2 + 2x) -20 + 9x = -8 + -4x + (-2 * -3 + 2x * -3) -20 + 9x = -8 + -4x + (6 + -6x) Reorder the terms: -20 + 9x = -8 + 6 + -4x + -6x Combine like terms: -8 + 6 = -2 -20 + 9x = -2 + -4x + -6x Combine like terms: -4x + -6x = -10x -20 + 9x = -2 + -10x Solving -20 + 9x = -2 + -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. -20 + 9x + 10x = -2 + -10x + 10x Combine like terms: 9x + 10x = 19x -20 + 19x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + 19x = -2 + 0 -20 + 19x = -2 Add '20' to each side of the equation. -20 + 20 + 19x = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 19x = -2 + 20 19x = -2 + 20 Combine like terms: -2 + 20 = 18 19x = 18 Divide each side by '19'. x = 0.9473684211 Simplifying x = 0.9473684211
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