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Simplifying 0.4(15x + -20) = 3(3x + -4) Reorder the terms: 0.4(-20 + 15x) = 3(3x + -4) (-20 * 0.4 + 15x * 0.4) = 3(3x + -4) (-8 + 6x) = 3(3x + -4) Reorder the terms: -8 + 6x = 3(-4 + 3x) -8 + 6x = (-4 * 3 + 3x * 3) -8 + 6x = (-12 + 9x) Solving -8 + 6x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 6x + -9x = -12 + 9x + -9x Combine like terms: 6x + -9x = -3x -8 + -3x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -3x = -12 + 0 -8 + -3x = -12 Add '8' to each side of the equation. -8 + 8 + -3x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -12 + 8 -3x = -12 + 8 Combine like terms: -12 + 8 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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