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Simplifying 5x + 5 + -3[5x + 2(3x + -6)] = 34 + 4x Reorder the terms: 5x + 5 + -3[5x + 2(-6 + 3x)] = 34 + 4x 5x + 5 + -3[5x + (-6 * 2 + 3x * 2)] = 34 + 4x 5x + 5 + -3[5x + (-12 + 6x)] = 34 + 4x Reorder the terms: 5x + 5 + -3[-12 + 5x + 6x] = 34 + 4x Combine like terms: 5x + 6x = 11x 5x + 5 + -3[-12 + 11x] = 34 + 4x 5x + 5 + [-12 * -3 + 11x * -3] = 34 + 4x 5x + 5 + [36 + -33x] = 34 + 4x Reorder the terms: 5 + 36 + 5x + -33x = 34 + 4x Combine like terms: 5 + 36 = 41 41 + 5x + -33x = 34 + 4x Combine like terms: 5x + -33x = -28x 41 + -28x = 34 + 4x Solving 41 + -28x = 34 + 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. 41 + -28x + -4x = 34 + 4x + -4x Combine like terms: -28x + -4x = -32x 41 + -32x = 34 + 4x + -4x Combine like terms: 4x + -4x = 0 41 + -32x = 34 + 0 41 + -32x = 34 Add '-41' to each side of the equation. 41 + -41 + -32x = 34 + -41 Combine like terms: 41 + -41 = 0 0 + -32x = 34 + -41 -32x = 34 + -41 Combine like terms: 34 + -41 = -7 -32x = -7 Divide each side by '-32'. x = 0.21875 Simplifying x = 0.21875
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