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Simplifying 45 + -1(2x + 3) = 2(x + -6) + x Reorder the terms: 45 + -1(3 + 2x) = 2(x + -6) + x 45 + (3 * -1 + 2x * -1) = 2(x + -6) + x 45 + (-3 + -2x) = 2(x + -6) + x Combine like terms: 45 + -3 = 42 42 + -2x = 2(x + -6) + x Reorder the terms: 42 + -2x = 2(-6 + x) + x 42 + -2x = (-6 * 2 + x * 2) + x 42 + -2x = (-12 + 2x) + x Combine like terms: 2x + x = 3x 42 + -2x = -12 + 3x Solving 42 + -2x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + -2x + -3x = -12 + 3x + -3x Combine like terms: -2x + -3x = -5x 42 + -5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -5x = -12 + 0 42 + -5x = -12 Add '-42' to each side of the equation. 42 + -42 + -5x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = -12 + -42 -5x = -12 + -42 Combine like terms: -12 + -42 = -54 -5x = -54 Divide each side by '-5'. x = 10.8 Simplifying x = 10.8
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