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Simplifying 3(1 + -3x) = 2(-4x + 7x) (1 * 3 + -3x * 3) = 2(-4x + 7x) (3 + -9x) = 2(-4x + 7x) Combine like terms: -4x + 7x = 3x 3 + -9x = 2(3x) Remove parenthesis around (3x) 3 + -9x = 2 * 3x Multiply 2 * 3 3 + -9x = 6x Solving 3 + -9x = 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. 3 + -9x + -6x = 6x + -6x Combine like terms: -9x + -6x = -15x 3 + -15x = 6x + -6x Combine like terms: 6x + -6x = 0 3 + -15x = 0 Add '-3' to each side of the equation. 3 + -3 + -15x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = 0 + -3 -15x = 0 + -3 Combine like terms: 0 + -3 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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