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Simplifying 2(x + 2) + -3(2x + -10) = 6x + -9 Reorder the terms: 2(2 + x) + -3(2x + -10) = 6x + -9 (2 * 2 + x * 2) + -3(2x + -10) = 6x + -9 (4 + 2x) + -3(2x + -10) = 6x + -9 Reorder the terms: 4 + 2x + -3(-10 + 2x) = 6x + -9 4 + 2x + (-10 * -3 + 2x * -3) = 6x + -9 4 + 2x + (30 + -6x) = 6x + -9 Reorder the terms: 4 + 30 + 2x + -6x = 6x + -9 Combine like terms: 4 + 30 = 34 34 + 2x + -6x = 6x + -9 Combine like terms: 2x + -6x = -4x 34 + -4x = 6x + -9 Reorder the terms: 34 + -4x = -9 + 6x Solving 34 + -4x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 34 + -4x + -6x = -9 + 6x + -6x Combine like terms: -4x + -6x = -10x 34 + -10x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + -10x = -9 + 0 34 + -10x = -9 Add '-34' to each side of the equation. 34 + -34 + -10x = -9 + -34 Combine like terms: 34 + -34 = 0 0 + -10x = -9 + -34 -10x = -9 + -34 Combine like terms: -9 + -34 = -43 -10x = -43 Divide each side by '-10'. x = 4.3 Simplifying x = 4.3
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