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Simplifying 5(2 + 5) + -3(3x + 2) = -5(x + -6) + 2 Combine like terms: 2 + 5 = 7 5(7) + -3(3x + 2) = -5(x + -6) + 2 Multiply 5 * 7 35 + -3(3x + 2) = -5(x + -6) + 2 Reorder the terms: 35 + -3(2 + 3x) = -5(x + -6) + 2 35 + (2 * -3 + 3x * -3) = -5(x + -6) + 2 35 + (-6 + -9x) = -5(x + -6) + 2 Combine like terms: 35 + -6 = 29 29 + -9x = -5(x + -6) + 2 Reorder the terms: 29 + -9x = -5(-6 + x) + 2 29 + -9x = (-6 * -5 + x * -5) + 2 29 + -9x = (30 + -5x) + 2 Reorder the terms: 29 + -9x = 30 + 2 + -5x Combine like terms: 30 + 2 = 32 29 + -9x = 32 + -5x Solving 29 + -9x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 29 + -9x + 5x = 32 + -5x + 5x Combine like terms: -9x + 5x = -4x 29 + -4x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 29 + -4x = 32 + 0 29 + -4x = 32 Add '-29' to each side of the equation. 29 + -29 + -4x = 32 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = 32 + -29 -4x = 32 + -29 Combine like terms: 32 + -29 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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