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Simplifying 5(x + -6) + 5 = 4(x + -3) Reorder the terms: 5(-6 + x) + 5 = 4(x + -3) (-6 * 5 + x * 5) + 5 = 4(x + -3) (-30 + 5x) + 5 = 4(x + -3) Reorder the terms: -30 + 5 + 5x = 4(x + -3) Combine like terms: -30 + 5 = -25 -25 + 5x = 4(x + -3) Reorder the terms: -25 + 5x = 4(-3 + x) -25 + 5x = (-3 * 4 + x * 4) -25 + 5x = (-12 + 4x) Solving -25 + 5x = -12 + 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. -25 + 5x + -4x = -12 + 4x + -4x Combine like terms: 5x + -4x = 1x -25 + 1x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 1x = -12 + 0 -25 + 1x = -12 Add '25' to each side of the equation. -25 + 25 + 1x = -12 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -12 + 25 1x = -12 + 25 Combine like terms: -12 + 25 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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