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Simplifying -4(x + 5) + 5 = 6(x + 5) + 2 Reorder the terms: -4(5 + x) + 5 = 6(x + 5) + 2 (5 * -4 + x * -4) + 5 = 6(x + 5) + 2 (-20 + -4x) + 5 = 6(x + 5) + 2 Reorder the terms: -20 + 5 + -4x = 6(x + 5) + 2 Combine like terms: -20 + 5 = -15 -15 + -4x = 6(x + 5) + 2 Reorder the terms: -15 + -4x = 6(5 + x) + 2 -15 + -4x = (5 * 6 + x * 6) + 2 -15 + -4x = (30 + 6x) + 2 Reorder the terms: -15 + -4x = 30 + 2 + 6x Combine like terms: 30 + 2 = 32 -15 + -4x = 32 + 6x Solving -15 + -4x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -4x + -6x = 32 + 6x + -6x Combine like terms: -4x + -6x = -10x -15 + -10x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -10x = 32 + 0 -15 + -10x = 32 Add '15' to each side of the equation. -15 + 15 + -10x = 32 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 32 + 15 -10x = 32 + 15 Combine like terms: 32 + 15 = 47 -10x = 47 Divide each side by '-10'. x = -4.7 Simplifying x = -4.7
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