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Simplifying 15 + -2x + 3(3x + -4) = 5(-3x + -2) + 20 Reorder the terms: 15 + -2x + 3(-4 + 3x) = 5(-3x + -2) + 20 15 + -2x + (-4 * 3 + 3x * 3) = 5(-3x + -2) + 20 15 + -2x + (-12 + 9x) = 5(-3x + -2) + 20 Reorder the terms: 15 + -12 + -2x + 9x = 5(-3x + -2) + 20 Combine like terms: 15 + -12 = 3 3 + -2x + 9x = 5(-3x + -2) + 20 Combine like terms: -2x + 9x = 7x 3 + 7x = 5(-3x + -2) + 20 Reorder the terms: 3 + 7x = 5(-2 + -3x) + 20 3 + 7x = (-2 * 5 + -3x * 5) + 20 3 + 7x = (-10 + -15x) + 20 Reorder the terms: 3 + 7x = -10 + 20 + -15x Combine like terms: -10 + 20 = 10 3 + 7x = 10 + -15x Solving 3 + 7x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 3 + 7x + 15x = 10 + -15x + 15x Combine like terms: 7x + 15x = 22x 3 + 22x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 3 + 22x = 10 + 0 3 + 22x = 10 Add '-3' to each side of the equation. 3 + -3 + 22x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 22x = 10 + -3 22x = 10 + -3 Combine like terms: 10 + -3 = 7 22x = 7 Divide each side by '22'. x = 0.3181818182 Simplifying x = 0.3181818182
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