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Simplifying 3 + -1(2x + -4) + -3(3x + 2) = 4x + 7 Reorder the terms: 3 + -1(-4 + 2x) + -3(3x + 2) = 4x + 7 3 + (-4 * -1 + 2x * -1) + -3(3x + 2) = 4x + 7 3 + (4 + -2x) + -3(3x + 2) = 4x + 7 Reorder the terms: 3 + 4 + -2x + -3(2 + 3x) = 4x + 7 3 + 4 + -2x + (2 * -3 + 3x * -3) = 4x + 7 3 + 4 + -2x + (-6 + -9x) = 4x + 7 Reorder the terms: 3 + 4 + -6 + -2x + -9x = 4x + 7 Combine like terms: 3 + 4 = 7 7 + -6 + -2x + -9x = 4x + 7 Combine like terms: 7 + -6 = 1 1 + -2x + -9x = 4x + 7 Combine like terms: -2x + -9x = -11x 1 + -11x = 4x + 7 Reorder the terms: 1 + -11x = 7 + 4x Solving 1 + -11x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -11x + -4x = 7 + 4x + -4x Combine like terms: -11x + -4x = -15x 1 + -15x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -15x = 7 + 0 1 + -15x = 7 Add '-1' to each side of the equation. 1 + -1 + -15x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 7 + -1 -15x = 7 + -1 Combine like terms: 7 + -1 = 6 -15x = 6 Divide each side by '-15'. x = -0.4 Simplifying x = -0.4
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