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Simplifying 0.3x + -2(9 + 5x) = 19 + -3(2x + -3) 0.3x + (9 * -2 + 5x * -2) = 19 + -3(2x + -3) 0.3x + (-18 + -10x) = 19 + -3(2x + -3) Reorder the terms: -18 + 0.3x + -10x = 19 + -3(2x + -3) Combine like terms: 0.3x + -10x = -9.7x -18 + -9.7x = 19 + -3(2x + -3) Reorder the terms: -18 + -9.7x = 19 + -3(-3 + 2x) -18 + -9.7x = 19 + (-3 * -3 + 2x * -3) -18 + -9.7x = 19 + (9 + -6x) Combine like terms: 19 + 9 = 28 -18 + -9.7x = 28 + -6x Solving -18 + -9.7x = 28 + -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. -18 + -9.7x + 6x = 28 + -6x + 6x Combine like terms: -9.7x + 6x = -3.7x -18 + -3.7x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + -3.7x = 28 + 0 -18 + -3.7x = 28 Add '18' to each side of the equation. -18 + 18 + -3.7x = 28 + 18 Combine like terms: -18 + 18 = 0 0 + -3.7x = 28 + 18 -3.7x = 28 + 18 Combine like terms: 28 + 18 = 46 -3.7x = 46 Divide each side by '-3.7'. x = -12.43243243 Simplifying x = -12.43243243
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