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Simplifying -4(x + 2) + 5 = 6(x + 4) + 7 Reorder the terms: -4(2 + x) + 5 = 6(x + 4) + 7 (2 * -4 + x * -4) + 5 = 6(x + 4) + 7 (-8 + -4x) + 5 = 6(x + 4) + 7 Reorder the terms: -8 + 5 + -4x = 6(x + 4) + 7 Combine like terms: -8 + 5 = -3 -3 + -4x = 6(x + 4) + 7 Reorder the terms: -3 + -4x = 6(4 + x) + 7 -3 + -4x = (4 * 6 + x * 6) + 7 -3 + -4x = (24 + 6x) + 7 Reorder the terms: -3 + -4x = 24 + 7 + 6x Combine like terms: 24 + 7 = 31 -3 + -4x = 31 + 6x Solving -3 + -4x = 31 + 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. -3 + -4x + -6x = 31 + 6x + -6x Combine like terms: -4x + -6x = -10x -3 + -10x = 31 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -10x = 31 + 0 -3 + -10x = 31 Add '3' to each side of the equation. -3 + 3 + -10x = 31 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 31 + 3 -10x = 31 + 3 Combine like terms: 31 + 3 = 34 -10x = 34 Divide each side by '-10'. x = -3.4 Simplifying x = -3.4
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