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Simplifying 3(3x + -4) = 20 + -1(6x + -10) Reorder the terms: 3(-4 + 3x) = 20 + -1(6x + -10) (-4 * 3 + 3x * 3) = 20 + -1(6x + -10) (-12 + 9x) = 20 + -1(6x + -10) Reorder the terms: -12 + 9x = 20 + -1(-10 + 6x) -12 + 9x = 20 + (-10 * -1 + 6x * -1) -12 + 9x = 20 + (10 + -6x) Combine like terms: 20 + 10 = 30 -12 + 9x = 30 + -6x Solving -12 + 9x = 30 + -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. -12 + 9x + 6x = 30 + -6x + 6x Combine like terms: 9x + 6x = 15x -12 + 15x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 15x = 30 + 0 -12 + 15x = 30 Add '12' to each side of the equation. -12 + 12 + 15x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 30 + 12 15x = 30 + 12 Combine like terms: 30 + 12 = 42 15x = 42 Divide each side by '15'. x = 2.8 Simplifying x = 2.8
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