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Simplifying 2(x + 1) + 5 = 5x + 19 Reorder the terms: 2(1 + x) + 5 = 5x + 19 (1 * 2 + x * 2) + 5 = 5x + 19 (2 + 2x) + 5 = 5x + 19 Reorder the terms: 2 + 5 + 2x = 5x + 19 Combine like terms: 2 + 5 = 7 7 + 2x = 5x + 19 Reorder the terms: 7 + 2x = 19 + 5x Solving 7 + 2x = 19 + 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 + 2x + -5x = 19 + 5x + -5x Combine like terms: 2x + -5x = -3x 7 + -3x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -3x = 19 + 0 7 + -3x = 19 Add '-7' to each side of the equation. 7 + -7 + -3x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 19 + -7 -3x = 19 + -7 Combine like terms: 19 + -7 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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