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Simplifying 6(3x + -2) = 7(2x + -1) Reorder the terms: 6(-2 + 3x) = 7(2x + -1) (-2 * 6 + 3x * 6) = 7(2x + -1) (-12 + 18x) = 7(2x + -1) Reorder the terms: -12 + 18x = 7(-1 + 2x) -12 + 18x = (-1 * 7 + 2x * 7) -12 + 18x = (-7 + 14x) Solving -12 + 18x = -7 + 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 + 18x + -14x = -7 + 14x + -14x Combine like terms: 18x + -14x = 4x -12 + 4x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + 4x = -7 + 0 -12 + 4x = -7 Add '12' to each side of the equation. -12 + 12 + 4x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -7 + 12 4x = -7 + 12 Combine like terms: -7 + 12 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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