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Simplifying 3 + -6(x + 7) + -12 = 4(2x + -3) Reorder the terms: 3 + -6(7 + x) + -12 = 4(2x + -3) 3 + (7 * -6 + x * -6) + -12 = 4(2x + -3) 3 + (-42 + -6x) + -12 = 4(2x + -3) Reorder the terms: 3 + -42 + -12 + -6x = 4(2x + -3) Combine like terms: 3 + -42 = -39 -39 + -12 + -6x = 4(2x + -3) Combine like terms: -39 + -12 = -51 -51 + -6x = 4(2x + -3) Reorder the terms: -51 + -6x = 4(-3 + 2x) -51 + -6x = (-3 * 4 + 2x * 4) -51 + -6x = (-12 + 8x) Solving -51 + -6x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -51 + -6x + -8x = -12 + 8x + -8x Combine like terms: -6x + -8x = -14x -51 + -14x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -51 + -14x = -12 + 0 -51 + -14x = -12 Add '51' to each side of the equation. -51 + 51 + -14x = -12 + 51 Combine like terms: -51 + 51 = 0 0 + -14x = -12 + 51 -14x = -12 + 51 Combine like terms: -12 + 51 = 39 -14x = 39 Divide each side by '-14'. x = -2.785714286 Simplifying x = -2.785714286
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