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Simplifying 4(x + -5) + 2x + -3 = 3x + -9 Reorder the terms: 4(-5 + x) + 2x + -3 = 3x + -9 (-5 * 4 + x * 4) + 2x + -3 = 3x + -9 (-20 + 4x) + 2x + -3 = 3x + -9 Reorder the terms: -20 + -3 + 4x + 2x = 3x + -9 Combine like terms: -20 + -3 = -23 -23 + 4x + 2x = 3x + -9 Combine like terms: 4x + 2x = 6x -23 + 6x = 3x + -9 Reorder the terms: -23 + 6x = -9 + 3x Solving -23 + 6x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x -23 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 3x = -9 + 0 -23 + 3x = -9 Add '23' to each side of the equation. -23 + 23 + 3x = -9 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = -9 + 23 3x = -9 + 23 Combine like terms: -9 + 23 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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