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Simplifying 3(x + -4) + -10 = 9 + -5(x + 3) Reorder the terms: 3(-4 + x) + -10 = 9 + -5(x + 3) (-4 * 3 + x * 3) + -10 = 9 + -5(x + 3) (-12 + 3x) + -10 = 9 + -5(x + 3) Reorder the terms: -12 + -10 + 3x = 9 + -5(x + 3) Combine like terms: -12 + -10 = -22 -22 + 3x = 9 + -5(x + 3) Reorder the terms: -22 + 3x = 9 + -5(3 + x) -22 + 3x = 9 + (3 * -5 + x * -5) -22 + 3x = 9 + (-15 + -5x) Combine like terms: 9 + -15 = -6 -22 + 3x = -6 + -5x Solving -22 + 3x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -22 + 3x + 5x = -6 + -5x + 5x Combine like terms: 3x + 5x = 8x -22 + 8x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -22 + 8x = -6 + 0 -22 + 8x = -6 Add '22' to each side of the equation. -22 + 22 + 8x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = -6 + 22 8x = -6 + 22 Combine like terms: -6 + 22 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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