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Simplifying 4(x + -5) + 5 = 3x + -6 + -1x Reorder the terms: 4(-5 + x) + 5 = 3x + -6 + -1x (-5 * 4 + x * 4) + 5 = 3x + -6 + -1x (-20 + 4x) + 5 = 3x + -6 + -1x Reorder the terms: -20 + 5 + 4x = 3x + -6 + -1x Combine like terms: -20 + 5 = -15 -15 + 4x = 3x + -6 + -1x Reorder the terms: -15 + 4x = -6 + 3x + -1x Combine like terms: 3x + -1x = 2x -15 + 4x = -6 + 2x Solving -15 + 4x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x -15 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 2x = -6 + 0 -15 + 2x = -6 Add '15' to each side of the equation. -15 + 15 + 2x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -6 + 15 2x = -6 + 15 Combine like terms: -6 + 15 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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