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Simplifying 3 + -4(x + -5) = 3x + 6(x + -3) Reorder the terms: 3 + -4(-5 + x) = 3x + 6(x + -3) 3 + (-5 * -4 + x * -4) = 3x + 6(x + -3) 3 + (20 + -4x) = 3x + 6(x + -3) Combine like terms: 3 + 20 = 23 23 + -4x = 3x + 6(x + -3) Reorder the terms: 23 + -4x = 3x + 6(-3 + x) 23 + -4x = 3x + (-3 * 6 + x * 6) 23 + -4x = 3x + (-18 + 6x) Reorder the terms: 23 + -4x = -18 + 3x + 6x Combine like terms: 3x + 6x = 9x 23 + -4x = -18 + 9x Solving 23 + -4x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 23 + -4x + -9x = -18 + 9x + -9x Combine like terms: -4x + -9x = -13x 23 + -13x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 23 + -13x = -18 + 0 23 + -13x = -18 Add '-23' to each side of the equation. 23 + -23 + -13x = -18 + -23 Combine like terms: 23 + -23 = 0 0 + -13x = -18 + -23 -13x = -18 + -23 Combine like terms: -18 + -23 = -41 -13x = -41 Divide each side by '-13'. x = 3.153846154 Simplifying x = 3.153846154
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