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Simplifying 4(4x + -3) + -6 = 12x + -12 + -2x Reorder the terms: 4(-3 + 4x) + -6 = 12x + -12 + -2x (-3 * 4 + 4x * 4) + -6 = 12x + -12 + -2x (-12 + 16x) + -6 = 12x + -12 + -2x Reorder the terms: -12 + -6 + 16x = 12x + -12 + -2x Combine like terms: -12 + -6 = -18 -18 + 16x = 12x + -12 + -2x Reorder the terms: -18 + 16x = -12 + 12x + -2x Combine like terms: 12x + -2x = 10x -18 + 16x = -12 + 10x Solving -18 + 16x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 16x + -10x = -12 + 10x + -10x Combine like terms: 16x + -10x = 6x -18 + 6x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 6x = -12 + 0 -18 + 6x = -12 Add '18' to each side of the equation. -18 + 18 + 6x = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = -12 + 18 6x = -12 + 18 Combine like terms: -12 + 18 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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