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Simplifying (2x + 5)(3) + -4(x + 2) = 8x + 5 Reorder the terms: (5 + 2x)(3) + -4(x + 2) = 8x + 5 Reorder the terms for easier multiplication: 3(5 + 2x) + -4(x + 2) = 8x + 5 (5 * 3 + 2x * 3) + -4(x + 2) = 8x + 5 (15 + 6x) + -4(x + 2) = 8x + 5 Reorder the terms: 15 + 6x + -4(2 + x) = 8x + 5 15 + 6x + (2 * -4 + x * -4) = 8x + 5 15 + 6x + (-8 + -4x) = 8x + 5 Reorder the terms: 15 + -8 + 6x + -4x = 8x + 5 Combine like terms: 15 + -8 = 7 7 + 6x + -4x = 8x + 5 Combine like terms: 6x + -4x = 2x 7 + 2x = 8x + 5 Reorder the terms: 7 + 2x = 5 + 8x Solving 7 + 2x = 5 + 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. 7 + 2x + -8x = 5 + 8x + -8x Combine like terms: 2x + -8x = -6x 7 + -6x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -6x = 5 + 0 7 + -6x = 5 Add '-7' to each side of the equation. 7 + -7 + -6x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 5 + -7 -6x = 5 + -7 Combine like terms: 5 + -7 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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