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Simplifying 5x + -1(-3) + (-9) = 4x + -1(-7 + 1) Multiply -1 * -3 5x + 3 + (-9) = 4x + -1(-7 + 1) 5x + 3 + -9 = 4x + -1(-7 + 1) Reorder the terms: 3 + -9 + 5x = 4x + -1(-7 + 1) Combine like terms: 3 + -9 = -6 -6 + 5x = 4x + -1(-7 + 1) Combine like terms: -7 + 1 = -6 -6 + 5x = 4x + -1(-6) Multiply -1 * -6 -6 + 5x = 4x + 6 Reorder the terms: -6 + 5x = 6 + 4x Solving -6 + 5x = 6 + 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. -6 + 5x + -4x = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x -6 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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