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Simplifying 5 + 3(x + -2) = 5 + -4(x + -4) Reorder the terms: 5 + 3(-2 + x) = 5 + -4(x + -4) 5 + (-2 * 3 + x * 3) = 5 + -4(x + -4) 5 + (-6 + 3x) = 5 + -4(x + -4) Combine like terms: 5 + -6 = -1 -1 + 3x = 5 + -4(x + -4) Reorder the terms: -1 + 3x = 5 + -4(-4 + x) -1 + 3x = 5 + (-4 * -4 + x * -4) -1 + 3x = 5 + (16 + -4x) Combine like terms: 5 + 16 = 21 -1 + 3x = 21 + -4x Solving -1 + 3x = 21 + -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. -1 + 3x + 4x = 21 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = 21 + 0 -1 + 7x = 21 Add '1' to each side of the equation. -1 + 1 + 7x = 21 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 21 + 1 7x = 21 + 1 Combine like terms: 21 + 1 = 22 7x = 22 Divide each side by '7'. x = 3.142857143 Simplifying x = 3.142857143
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