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Simplifying 5 + -3(x + 5) = 6 + -4(x + -4) Reorder the terms: 5 + -3(5 + x) = 6 + -4(x + -4) 5 + (5 * -3 + x * -3) = 6 + -4(x + -4) 5 + (-15 + -3x) = 6 + -4(x + -4) Combine like terms: 5 + -15 = -10 -10 + -3x = 6 + -4(x + -4) Reorder the terms: -10 + -3x = 6 + -4(-4 + x) -10 + -3x = 6 + (-4 * -4 + x * -4) -10 + -3x = 6 + (16 + -4x) Combine like terms: 6 + 16 = 22 -10 + -3x = 22 + -4x Solving -10 + -3x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + -3x + 4x = 22 + -4x + 4x Combine like terms: -3x + 4x = 1x -10 + 1x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 1x = 22 + 0 -10 + 1x = 22 Add '10' to each side of the equation. -10 + 10 + 1x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 22 + 10 1x = 22 + 10 Combine like terms: 22 + 10 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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