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Simplifying 4(x + 3) + 1 = 5x + 10 Reorder the terms: 4(3 + x) + 1 = 5x + 10 (3 * 4 + x * 4) + 1 = 5x + 10 (12 + 4x) + 1 = 5x + 10 Reorder the terms: 12 + 1 + 4x = 5x + 10 Combine like terms: 12 + 1 = 13 13 + 4x = 5x + 10 Reorder the terms: 13 + 4x = 10 + 5x Solving 13 + 4x = 10 + 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. 13 + 4x + -5x = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x 13 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -1x = 10 + 0 13 + -1x = 10 Add '-13' to each side of the equation. 13 + -13 + -1x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 10 + -13 -1x = 10 + -13 Combine like terms: 10 + -13 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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