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Simplifying 3x + -500 + 1000 + -3(4x + -900) = 3x(6 + -2) Reorder the terms: 3x + -500 + 1000 + -3(-900 + 4x) = 3x(6 + -2) 3x + -500 + 1000 + (-900 * -3 + 4x * -3) = 3x(6 + -2) 3x + -500 + 1000 + (2700 + -12x) = 3x(6 + -2) Reorder the terms: -500 + 1000 + 2700 + 3x + -12x = 3x(6 + -2) Combine like terms: -500 + 1000 = 500 500 + 2700 + 3x + -12x = 3x(6 + -2) Combine like terms: 500 + 2700 = 3200 3200 + 3x + -12x = 3x(6 + -2) Combine like terms: 3x + -12x = -9x 3200 + -9x = 3x(6 + -2) Combine like terms: 6 + -2 = 4 3200 + -9x = 3x(4) Reorder the terms for easier multiplication: 3200 + -9x = 3 * 4x Multiply 3 * 4 3200 + -9x = 12x Solving 3200 + -9x = 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. 3200 + -9x + -12x = 12x + -12x Combine like terms: -9x + -12x = -21x 3200 + -21x = 12x + -12x Combine like terms: 12x + -12x = 0 3200 + -21x = 0 Add '-3200' to each side of the equation. 3200 + -3200 + -21x = 0 + -3200 Combine like terms: 3200 + -3200 = 0 0 + -21x = 0 + -3200 -21x = 0 + -3200 Combine like terms: 0 + -3200 = -3200 -21x = -3200 Divide each side by '-21'. x = 152.3809524 Simplifying x = 152.3809524
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