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Simplifying 4(4x + -3) + -6x = 12x + -14 Reorder the terms: 4(-3 + 4x) + -6x = 12x + -14 (-3 * 4 + 4x * 4) + -6x = 12x + -14 (-12 + 16x) + -6x = 12x + -14 Combine like terms: 16x + -6x = 10x -12 + 10x = 12x + -14 Reorder the terms: -12 + 10x = -14 + 12x Solving -12 + 10x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 10x + -12x = -14 + 12x + -12x Combine like terms: 10x + -12x = -2x -12 + -2x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -2x = -14 + 0 -12 + -2x = -14 Add '12' to each side of the equation. -12 + 12 + -2x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -14 + 12 -2x = -14 + 12 Combine like terms: -14 + 12 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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