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Simplifying 4x + 7 = 5(x + 6) + -2 Reorder the terms: 7 + 4x = 5(x + 6) + -2 Reorder the terms: 7 + 4x = 5(6 + x) + -2 7 + 4x = (6 * 5 + x * 5) + -2 7 + 4x = (30 + 5x) + -2 Reorder the terms: 7 + 4x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 7 + 4x = 28 + 5x Solving 7 + 4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 4x + -5x = 28 + 5x + -5x Combine like terms: 4x + -5x = -1x 7 + -1x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -1x = 28 + 0 7 + -1x = 28 Add '-7' to each side of the equation. 7 + -7 + -1x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 28 + -7 -1x = 28 + -7 Combine like terms: 28 + -7 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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