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Simplifying 4[x + (3 + -2x)] + 5 = 3(x + 11) Remove parenthesis around (3 + -2x) 4[x + 3 + -2x] + 5 = 3(x + 11) Reorder the terms: 4[3 + x + -2x] + 5 = 3(x + 11) Combine like terms: x + -2x = -1x 4[3 + -1x] + 5 = 3(x + 11) [3 * 4 + -1x * 4] + 5 = 3(x + 11) [12 + -4x] + 5 = 3(x + 11) Reorder the terms: 12 + 5 + -4x = 3(x + 11) Combine like terms: 12 + 5 = 17 17 + -4x = 3(x + 11) Reorder the terms: 17 + -4x = 3(11 + x) 17 + -4x = (11 * 3 + x * 3) 17 + -4x = (33 + 3x) Solving 17 + -4x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + -4x + -3x = 33 + 3x + -3x Combine like terms: -4x + -3x = -7x 17 + -7x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -7x = 33 + 0 17 + -7x = 33 Add '-17' to each side of the equation. 17 + -17 + -7x = 33 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 33 + -17 -7x = 33 + -17 Combine like terms: 33 + -17 = 16 -7x = 16 Divide each side by '-7'. x = -2.285714286 Simplifying x = -2.285714286
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