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Simplifying 4(x + -3) + 6 = 14 + 2x Reorder the terms: 4(-3 + x) + 6 = 14 + 2x (-3 * 4 + x * 4) + 6 = 14 + 2x (-12 + 4x) + 6 = 14 + 2x Reorder the terms: -12 + 6 + 4x = 14 + 2x Combine like terms: -12 + 6 = -6 -6 + 4x = 14 + 2x Solving -6 + 4x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 4x + -2x = 14 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 14 + 0 -6 + 2x = 14 Add '6' to each side of the equation. -6 + 6 + 2x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 14 + 6 2x = 14 + 6 Combine like terms: 14 + 6 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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