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Simplifying 7 + -3(4x + 2) = 6(2x + 3) * 250 + -2517 Reorder the terms: 7 + -3(2 + 4x) = 6(2x + 3) * 250 + -2517 7 + (2 * -3 + 4x * -3) = 6(2x + 3) * 250 + -2517 7 + (-6 + -12x) = 6(2x + 3) * 250 + -2517 Combine like terms: 7 + -6 = 1 1 + -12x = 6(2x + 3) * 250 + -2517 Reorder the terms: 1 + -12x = 6(3 + 2x) * 250 + -2517 Reorder the terms for easier multiplication: 1 + -12x = 6 * 250(3 + 2x) + -2517 Multiply 6 * 250 1 + -12x = 1500(3 + 2x) + -2517 1 + -12x = (3 * 1500 + 2x * 1500) + -2517 1 + -12x = (4500 + 3000x) + -2517 Reorder the terms: 1 + -12x = 4500 + -2517 + 3000x Combine like terms: 4500 + -2517 = 1983 1 + -12x = 1983 + 3000x Solving 1 + -12x = 1983 + 3000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3000x' to each side of the equation. 1 + -12x + -3000x = 1983 + 3000x + -3000x Combine like terms: -12x + -3000x = -3012x 1 + -3012x = 1983 + 3000x + -3000x Combine like terms: 3000x + -3000x = 0 1 + -3012x = 1983 + 0 1 + -3012x = 1983 Add '-1' to each side of the equation. 1 + -1 + -3012x = 1983 + -1 Combine like terms: 1 + -1 = 0 0 + -3012x = 1983 + -1 -3012x = 1983 + -1 Combine like terms: 1983 + -1 = 1982 -3012x = 1982 Divide each side by '-3012'. x = -0.6580345286 Simplifying x = -0.6580345286
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