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Simplifying 7x + -3(4 + -2x) = 6(x + -5) + -12 7x + (4 * -3 + -2x * -3) = 6(x + -5) + -12 7x + (-12 + 6x) = 6(x + -5) + -12 Reorder the terms: -12 + 7x + 6x = 6(x + -5) + -12 Combine like terms: 7x + 6x = 13x -12 + 13x = 6(x + -5) + -12 Reorder the terms: -12 + 13x = 6(-5 + x) + -12 -12 + 13x = (-5 * 6 + x * 6) + -12 -12 + 13x = (-30 + 6x) + -12 Reorder the terms: -12 + 13x = -30 + -12 + 6x Combine like terms: -30 + -12 = -42 -12 + 13x = -42 + 6x Solving -12 + 13x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 13x + -6x = -42 + 6x + -6x Combine like terms: 13x + -6x = 7x -12 + 7x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 7x = -42 + 0 -12 + 7x = -42 Add '12' to each side of the equation. -12 + 12 + 7x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -42 + 12 7x = -42 + 12 Combine like terms: -42 + 12 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286
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