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Simplifying -4x + 3 + -5(x + 1) = 6(x + -4) Reorder the terms: -4x + 3 + -5(1 + x) = 6(x + -4) -4x + 3 + (1 * -5 + x * -5) = 6(x + -4) -4x + 3 + (-5 + -5x) = 6(x + -4) Reorder the terms: 3 + -5 + -4x + -5x = 6(x + -4) Combine like terms: 3 + -5 = -2 -2 + -4x + -5x = 6(x + -4) Combine like terms: -4x + -5x = -9x -2 + -9x = 6(x + -4) Reorder the terms: -2 + -9x = 6(-4 + x) -2 + -9x = (-4 * 6 + x * 6) -2 + -9x = (-24 + 6x) Solving -2 + -9x = -24 + 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. -2 + -9x + -6x = -24 + 6x + -6x Combine like terms: -9x + -6x = -15x -2 + -15x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -15x = -24 + 0 -2 + -15x = -24 Add '2' to each side of the equation. -2 + 2 + -15x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = -24 + 2 -15x = -24 + 2 Combine like terms: -24 + 2 = -22 -15x = -22 Divide each side by '-15'. x = 1.466666667 Simplifying x = 1.466666667
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