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Simplifying 9 + 3(x + -5) = 3[9 + -4(x + 3)] Reorder the terms: 9 + 3(-5 + x) = 3[9 + -4(x + 3)] 9 + (-5 * 3 + x * 3) = 3[9 + -4(x + 3)] 9 + (-15 + 3x) = 3[9 + -4(x + 3)] Combine like terms: 9 + -15 = -6 -6 + 3x = 3[9 + -4(x + 3)] Reorder the terms: -6 + 3x = 3[9 + -4(3 + x)] -6 + 3x = 3[9 + (3 * -4 + x * -4)] -6 + 3x = 3[9 + (-12 + -4x)] Combine like terms: 9 + -12 = -3 -6 + 3x = 3[-3 + -4x] -6 + 3x = [-3 * 3 + -4x * 3] -6 + 3x = [-9 + -12x] Solving -6 + 3x = -9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + 3x + 12x = -9 + -12x + 12x Combine like terms: 3x + 12x = 15x -6 + 15x = -9 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 15x = -9 + 0 -6 + 15x = -9 Add '6' to each side of the equation. -6 + 6 + 15x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = -9 + 6 15x = -9 + 6 Combine like terms: -9 + 6 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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