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Simplifying 4(-1x + -3) + 6 = 6x + 14 Reorder the terms: 4(-3 + -1x) + 6 = 6x + 14 (-3 * 4 + -1x * 4) + 6 = 6x + 14 (-12 + -4x) + 6 = 6x + 14 Reorder the terms: -12 + 6 + -4x = 6x + 14 Combine like terms: -12 + 6 = -6 -6 + -4x = 6x + 14 Reorder the terms: -6 + -4x = 14 + 6x Solving -6 + -4x = 14 + 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. -6 + -4x + -6x = 14 + 6x + -6x Combine like terms: -4x + -6x = -10x -6 + -10x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -10x = 14 + 0 -6 + -10x = 14 Add '6' to each side of the equation. -6 + 6 + -10x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 14 + 6 -10x = 14 + 6 Combine like terms: 14 + 6 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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