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Simplifying -4(x + 5) + 5 = 6(x + 2) + 7 Reorder the terms: -4(5 + x) + 5 = 6(x + 2) + 7 (5 * -4 + x * -4) + 5 = 6(x + 2) + 7 (-20 + -4x) + 5 = 6(x + 2) + 7 Reorder the terms: -20 + 5 + -4x = 6(x + 2) + 7 Combine like terms: -20 + 5 = -15 -15 + -4x = 6(x + 2) + 7 Reorder the terms: -15 + -4x = 6(2 + x) + 7 -15 + -4x = (2 * 6 + x * 6) + 7 -15 + -4x = (12 + 6x) + 7 Reorder the terms: -15 + -4x = 12 + 7 + 6x Combine like terms: 12 + 7 = 19 -15 + -4x = 19 + 6x Solving -15 + -4x = 19 + 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 = 19 + 6x + -6x Combine like terms: -4x + -6x = -10x -15 + -10x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -10x = 19 + 0 -15 + -10x = 19 Add '15' to each side of the equation. -15 + 15 + -10x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = 19 + 15 -10x = 19 + 15 Combine like terms: 19 + 15 = 34 -10x = 34 Divide each side by '-10'. x = -3.4 Simplifying x = -3.4
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