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Simplifying 5(x + -3) + -1 = 4(x + -4) Reorder the terms: 5(-3 + x) + -1 = 4(x + -4) (-3 * 5 + x * 5) + -1 = 4(x + -4) (-15 + 5x) + -1 = 4(x + -4) Reorder the terms: -15 + -1 + 5x = 4(x + -4) Combine like terms: -15 + -1 = -16 -16 + 5x = 4(x + -4) Reorder the terms: -16 + 5x = 4(-4 + x) -16 + 5x = (-4 * 4 + x * 4) -16 + 5x = (-16 + 4x) Add '16' to each side of the equation. -16 + 16 + 5x = -16 + 16 + 4x Combine like terms: -16 + 16 = 0 0 + 5x = -16 + 16 + 4x 5x = -16 + 16 + 4x Combine like terms: -16 + 16 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 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. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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