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Simplifying 6(x + -2) = 7(2x + -3) Reorder the terms: 6(-2 + x) = 7(2x + -3) (-2 * 6 + x * 6) = 7(2x + -3) (-12 + 6x) = 7(2x + -3) Reorder the terms: -12 + 6x = 7(-3 + 2x) -12 + 6x = (-3 * 7 + 2x * 7) -12 + 6x = (-21 + 14x) Solving -12 + 6x = -21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 6x + -14x = -21 + 14x + -14x Combine like terms: 6x + -14x = -8x -12 + -8x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -8x = -21 + 0 -12 + -8x = -21 Add '12' to each side of the equation. -12 + 12 + -8x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -21 + 12 -8x = -21 + 12 Combine like terms: -21 + 12 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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