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Simplifying 2(3x + -15 + -3(2x + 2)) = 8(4x + -3) + -5(x + -3) Reorder the terms: 2(3x + -15 + -3(2 + 2x)) = 8(4x + -3) + -5(x + -3) 2(3x + -15 + (2 * -3 + 2x * -3)) = 8(4x + -3) + -5(x + -3) 2(3x + -15 + (-6 + -6x)) = 8(4x + -3) + -5(x + -3) Reorder the terms: 2(-15 + -6 + 3x + -6x) = 8(4x + -3) + -5(x + -3) Combine like terms: -15 + -6 = -21 2(-21 + 3x + -6x) = 8(4x + -3) + -5(x + -3) Combine like terms: 3x + -6x = -3x 2(-21 + -3x) = 8(4x + -3) + -5(x + -3) (-21 * 2 + -3x * 2) = 8(4x + -3) + -5(x + -3) (-42 + -6x) = 8(4x + -3) + -5(x + -3) Reorder the terms: -42 + -6x = 8(-3 + 4x) + -5(x + -3) -42 + -6x = (-3 * 8 + 4x * 8) + -5(x + -3) -42 + -6x = (-24 + 32x) + -5(x + -3) Reorder the terms: -42 + -6x = -24 + 32x + -5(-3 + x) -42 + -6x = -24 + 32x + (-3 * -5 + x * -5) -42 + -6x = -24 + 32x + (15 + -5x) Reorder the terms: -42 + -6x = -24 + 15 + 32x + -5x Combine like terms: -24 + 15 = -9 -42 + -6x = -9 + 32x + -5x Combine like terms: 32x + -5x = 27x -42 + -6x = -9 + 27x Solving -42 + -6x = -9 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -42 + -6x + -27x = -9 + 27x + -27x Combine like terms: -6x + -27x = -33x -42 + -33x = -9 + 27x + -27x Combine like terms: 27x + -27x = 0 -42 + -33x = -9 + 0 -42 + -33x = -9 Add '42' to each side of the equation. -42 + 42 + -33x = -9 + 42 Combine like terms: -42 + 42 = 0 0 + -33x = -9 + 42 -33x = -9 + 42 Combine like terms: -9 + 42 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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