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Simplifying 2(x + 5) + 3 = 4(x + 2) + -11 Reorder the terms: 2(5 + x) + 3 = 4(x + 2) + -11 (5 * 2 + x * 2) + 3 = 4(x + 2) + -11 (10 + 2x) + 3 = 4(x + 2) + -11 Reorder the terms: 10 + 3 + 2x = 4(x + 2) + -11 Combine like terms: 10 + 3 = 13 13 + 2x = 4(x + 2) + -11 Reorder the terms: 13 + 2x = 4(2 + x) + -11 13 + 2x = (2 * 4 + x * 4) + -11 13 + 2x = (8 + 4x) + -11 Reorder the terms: 13 + 2x = 8 + -11 + 4x Combine like terms: 8 + -11 = -3 13 + 2x = -3 + 4x Solving 13 + 2x = -3 + 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. 13 + 2x + -4x = -3 + 4x + -4x Combine like terms: 2x + -4x = -2x 13 + -2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -2x = -3 + 0 13 + -2x = -3 Add '-13' to each side of the equation. 13 + -13 + -2x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -3 + -13 -2x = -3 + -13 Combine like terms: -3 + -13 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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