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Simplifying 28(x + -7) + 21(2x + -1) = 12(x + 3.2) Reorder the terms: 28(-7 + x) + 21(2x + -1) = 12(x + 3.2) (-7 * 28 + x * 28) + 21(2x + -1) = 12(x + 3.2) (-196 + 28x) + 21(2x + -1) = 12(x + 3.2) Reorder the terms: -196 + 28x + 21(-1 + 2x) = 12(x + 3.2) -196 + 28x + (-1 * 21 + 2x * 21) = 12(x + 3.2) -196 + 28x + (-21 + 42x) = 12(x + 3.2) Reorder the terms: -196 + -21 + 28x + 42x = 12(x + 3.2) Combine like terms: -196 + -21 = -217 -217 + 28x + 42x = 12(x + 3.2) Combine like terms: 28x + 42x = 70x -217 + 70x = 12(x + 3.2) Reorder the terms: -217 + 70x = 12(3.2 + x) -217 + 70x = (3.2 * 12 + x * 12) -217 + 70x = (38.4 + 12x) Solving -217 + 70x = 38.4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -217 + 70x + -12x = 38.4 + 12x + -12x Combine like terms: 70x + -12x = 58x -217 + 58x = 38.4 + 12x + -12x Combine like terms: 12x + -12x = 0 -217 + 58x = 38.4 + 0 -217 + 58x = 38.4 Add '217' to each side of the equation. -217 + 217 + 58x = 38.4 + 217 Combine like terms: -217 + 217 = 0 0 + 58x = 38.4 + 217 58x = 38.4 + 217 Combine like terms: 38.4 + 217 = 255.4 58x = 255.4 Divide each side by '58'. x = 4.403448276 Simplifying x = 4.403448276
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