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Simplifying 4(x + 5) + 3(x + 1) = x + -13 Reorder the terms: 4(5 + x) + 3(x + 1) = x + -13 (5 * 4 + x * 4) + 3(x + 1) = x + -13 (20 + 4x) + 3(x + 1) = x + -13 Reorder the terms: 20 + 4x + 3(1 + x) = x + -13 20 + 4x + (1 * 3 + x * 3) = x + -13 20 + 4x + (3 + 3x) = x + -13 Reorder the terms: 20 + 3 + 4x + 3x = x + -13 Combine like terms: 20 + 3 = 23 23 + 4x + 3x = x + -13 Combine like terms: 4x + 3x = 7x 23 + 7x = x + -13 Reorder the terms: 23 + 7x = -13 + x Solving 23 + 7x = -13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 23 + 7x + -1x = -13 + x + -1x Combine like terms: 7x + -1x = 6x 23 + 6x = -13 + x + -1x Combine like terms: x + -1x = 0 23 + 6x = -13 + 0 23 + 6x = -13 Add '-23' to each side of the equation. 23 + -23 + 6x = -13 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = -13 + -23 6x = -13 + -23 Combine like terms: -13 + -23 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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