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Simplifying 4(x + -3) = -6(x + 2) + 14 Reorder the terms: 4(-3 + x) = -6(x + 2) + 14 (-3 * 4 + x * 4) = -6(x + 2) + 14 (-12 + 4x) = -6(x + 2) + 14 Reorder the terms: -12 + 4x = -6(2 + x) + 14 -12 + 4x = (2 * -6 + x * -6) + 14 -12 + 4x = (-12 + -6x) + 14 Reorder the terms: -12 + 4x = -12 + 14 + -6x Combine like terms: -12 + 14 = 2 -12 + 4x = 2 + -6x Solving -12 + 4x = 2 + -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 + 4x + 6x = 2 + -6x + 6x Combine like terms: 4x + 6x = 10x -12 + 10x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 10x = 2 + 0 -12 + 10x = 2 Add '12' to each side of the equation. -12 + 12 + 10x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 2 + 12 10x = 2 + 12 Combine like terms: 2 + 12 = 14 10x = 14 Divide each side by '10'. x = 1.4 Simplifying x = 1.4
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