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Simplifying 3[2 + -5(x + 1)] = 4(2x + 1) Reorder the terms: 3[2 + -5(1 + x)] = 4(2x + 1) 3[2 + (1 * -5 + x * -5)] = 4(2x + 1) 3[2 + (-5 + -5x)] = 4(2x + 1) Combine like terms: 2 + -5 = -3 3[-3 + -5x] = 4(2x + 1) [-3 * 3 + -5x * 3] = 4(2x + 1) [-9 + -15x] = 4(2x + 1) Reorder the terms: -9 + -15x = 4(1 + 2x) -9 + -15x = (1 * 4 + 2x * 4) -9 + -15x = (4 + 8x) Solving -9 + -15x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + -15x + -8x = 4 + 8x + -8x Combine like terms: -15x + -8x = -23x -9 + -23x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -23x = 4 + 0 -9 + -23x = 4 Add '9' to each side of the equation. -9 + 9 + -23x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -23x = 4 + 9 -23x = 4 + 9 Combine like terms: 4 + 9 = 13 -23x = 13 Divide each side by '-23'. x = -0.5652173913 Simplifying x = -0.5652173913
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