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Simplifying 1 + -3(2x + -3) = 2(4x + -3) Reorder the terms: 1 + -3(-3 + 2x) = 2(4x + -3) 1 + (-3 * -3 + 2x * -3) = 2(4x + -3) 1 + (9 + -6x) = 2(4x + -3) Combine like terms: 1 + 9 = 10 10 + -6x = 2(4x + -3) Reorder the terms: 10 + -6x = 2(-3 + 4x) 10 + -6x = (-3 * 2 + 4x * 2) 10 + -6x = (-6 + 8x) Solving 10 + -6x = -6 + 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. 10 + -6x + -8x = -6 + 8x + -8x Combine like terms: -6x + -8x = -14x 10 + -14x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -14x = -6 + 0 10 + -14x = -6 Add '-10' to each side of the equation. 10 + -10 + -14x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -6 + -10 -14x = -6 + -10 Combine like terms: -6 + -10 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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