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Simplifying 4(3x + -0.4) = 50 + -3(-7x + -2) Reorder the terms: 4(-0.4 + 3x) = 50 + -3(-7x + -2) (-0.4 * 4 + 3x * 4) = 50 + -3(-7x + -2) (-1.6 + 12x) = 50 + -3(-7x + -2) Reorder the terms: -1.6 + 12x = 50 + -3(-2 + -7x) -1.6 + 12x = 50 + (-2 * -3 + -7x * -3) -1.6 + 12x = 50 + (6 + 21x) Combine like terms: 50 + 6 = 56 -1.6 + 12x = 56 + 21x Solving -1.6 + 12x = 56 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -1.6 + 12x + -21x = 56 + 21x + -21x Combine like terms: 12x + -21x = -9x -1.6 + -9x = 56 + 21x + -21x Combine like terms: 21x + -21x = 0 -1.6 + -9x = 56 + 0 -1.6 + -9x = 56 Add '1.6' to each side of the equation. -1.6 + 1.6 + -9x = 56 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -9x = 56 + 1.6 -9x = 56 + 1.6 Combine like terms: 56 + 1.6 = 57.6 -9x = 57.6 Divide each side by '-9'. x = -6.4 Simplifying x = -6.4
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