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Simplifying 5(3x + -2) + 4x = 6x + -23 Reorder the terms: 5(-2 + 3x) + 4x = 6x + -23 (-2 * 5 + 3x * 5) + 4x = 6x + -23 (-10 + 15x) + 4x = 6x + -23 Combine like terms: 15x + 4x = 19x -10 + 19x = 6x + -23 Reorder the terms: -10 + 19x = -23 + 6x Solving -10 + 19x = -23 + 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. -10 + 19x + -6x = -23 + 6x + -6x Combine like terms: 19x + -6x = 13x -10 + 13x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 13x = -23 + 0 -10 + 13x = -23 Add '10' to each side of the equation. -10 + 10 + 13x = -23 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = -23 + 10 13x = -23 + 10 Combine like terms: -23 + 10 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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