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Simplifying 12x + (-4)(x + 7) = 0.5(10x + -1(-3)) Reorder the terms: 12x + -4(7 + x) = 0.5(10x + -1(-3)) 12x + (7 * -4 + x * -4) = 0.5(10x + -1(-3)) 12x + (-28 + -4x) = 0.5(10x + -1(-3)) Reorder the terms: -28 + 12x + -4x = 0.5(10x + -1(-3)) Combine like terms: 12x + -4x = 8x -28 + 8x = 0.5(10x + -1(-3)) Multiply -1 * -3 -28 + 8x = 0.5(10x + 3) Reorder the terms: -28 + 8x = 0.5(3 + 10x) -28 + 8x = (3 * 0.5 + 10x * 0.5) -28 + 8x = (1.5 + 5x) Solving -28 + 8x = 1.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 8x + -5x = 1.5 + 5x + -5x Combine like terms: 8x + -5x = 3x -28 + 3x = 1.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 3x = 1.5 + 0 -28 + 3x = 1.5 Add '28' to each side of the equation. -28 + 28 + 3x = 1.5 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = 1.5 + 28 3x = 1.5 + 28 Combine like terms: 1.5 + 28 = 29.5 3x = 29.5 Divide each side by '3'. x = 9.833333333 Simplifying x = 9.833333333
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