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Simplifying 4 + -3x + 2(5 + -3x) = 4x + 1 4 + -3x + (5 * 2 + -3x * 2) = 4x + 1 4 + -3x + (10 + -6x) = 4x + 1 Reorder the terms: 4 + 10 + -3x + -6x = 4x + 1 Combine like terms: 4 + 10 = 14 14 + -3x + -6x = 4x + 1 Combine like terms: -3x + -6x = -9x 14 + -9x = 4x + 1 Reorder the terms: 14 + -9x = 1 + 4x Solving 14 + -9x = 1 + 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. 14 + -9x + -4x = 1 + 4x + -4x Combine like terms: -9x + -4x = -13x 14 + -13x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -13x = 1 + 0 14 + -13x = 1 Add '-14' to each side of the equation. 14 + -14 + -13x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -13x = 1 + -14 -13x = 1 + -14 Combine like terms: 1 + -14 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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