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Simplifying (4x + -2) + 3(3x + 5) = 6x + -1 Reorder the terms: (-2 + 4x) + 3(3x + 5) = 6x + -1 Remove parenthesis around (-2 + 4x) -2 + 4x + 3(3x + 5) = 6x + -1 Reorder the terms: -2 + 4x + 3(5 + 3x) = 6x + -1 -2 + 4x + (5 * 3 + 3x * 3) = 6x + -1 -2 + 4x + (15 + 9x) = 6x + -1 Reorder the terms: -2 + 15 + 4x + 9x = 6x + -1 Combine like terms: -2 + 15 = 13 13 + 4x + 9x = 6x + -1 Combine like terms: 4x + 9x = 13x 13 + 13x = 6x + -1 Reorder the terms: 13 + 13x = -1 + 6x Solving 13 + 13x = -1 + 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. 13 + 13x + -6x = -1 + 6x + -6x Combine like terms: 13x + -6x = 7x 13 + 7x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 7x = -1 + 0 13 + 7x = -1 Add '-13' to each side of the equation. 13 + -13 + 7x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -1 + -13 7x = -1 + -13 Combine like terms: -1 + -13 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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