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Simplifying 5(x + -2) + -3 = -3(-9x + 6) + -7x Reorder the terms: 5(-2 + x) + -3 = -3(-9x + 6) + -7x (-2 * 5 + x * 5) + -3 = -3(-9x + 6) + -7x (-10 + 5x) + -3 = -3(-9x + 6) + -7x Reorder the terms: -10 + -3 + 5x = -3(-9x + 6) + -7x Combine like terms: -10 + -3 = -13 -13 + 5x = -3(-9x + 6) + -7x Reorder the terms: -13 + 5x = -3(6 + -9x) + -7x -13 + 5x = (6 * -3 + -9x * -3) + -7x -13 + 5x = (-18 + 27x) + -7x Combine like terms: 27x + -7x = 20x -13 + 5x = -18 + 20x Solving -13 + 5x = -18 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -13 + 5x + -20x = -18 + 20x + -20x Combine like terms: 5x + -20x = -15x -13 + -15x = -18 + 20x + -20x Combine like terms: 20x + -20x = 0 -13 + -15x = -18 + 0 -13 + -15x = -18 Add '13' to each side of the equation. -13 + 13 + -15x = -18 + 13 Combine like terms: -13 + 13 = 0 0 + -15x = -18 + 13 -15x = -18 + 13 Combine like terms: -18 + 13 = -5 -15x = -5 Divide each side by '-15'. x = 0.3333333333 Simplifying x = 0.3333333333
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