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Simplifying 3x + 6 = 4(x + 6) + 4 Reorder the terms: 6 + 3x = 4(x + 6) + 4 Reorder the terms: 6 + 3x = 4(6 + x) + 4 6 + 3x = (6 * 4 + x * 4) + 4 6 + 3x = (24 + 4x) + 4 Reorder the terms: 6 + 3x = 24 + 4 + 4x Combine like terms: 24 + 4 = 28 6 + 3x = 28 + 4x Solving 6 + 3x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 3x + -4x = 28 + 4x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -1x = 28 + 0 6 + -1x = 28 Add '-6' to each side of the equation. 6 + -6 + -1x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 28 + -6 -1x = 28 + -6 Combine like terms: 28 + -6 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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