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Simplifying -4(x + 2) + 4 = 6(x + 5) + 3 Reorder the terms: -4(2 + x) + 4 = 6(x + 5) + 3 (2 * -4 + x * -4) + 4 = 6(x + 5) + 3 (-8 + -4x) + 4 = 6(x + 5) + 3 Reorder the terms: -8 + 4 + -4x = 6(x + 5) + 3 Combine like terms: -8 + 4 = -4 -4 + -4x = 6(x + 5) + 3 Reorder the terms: -4 + -4x = 6(5 + x) + 3 -4 + -4x = (5 * 6 + x * 6) + 3 -4 + -4x = (30 + 6x) + 3 Reorder the terms: -4 + -4x = 30 + 3 + 6x Combine like terms: 30 + 3 = 33 -4 + -4x = 33 + 6x Solving -4 + -4x = 33 + 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. -4 + -4x + -6x = 33 + 6x + -6x Combine like terms: -4x + -6x = -10x -4 + -10x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -10x = 33 + 0 -4 + -10x = 33 Add '4' to each side of the equation. -4 + 4 + -10x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 33 + 4 -10x = 33 + 4 Combine like terms: 33 + 4 = 37 -10x = 37 Divide each side by '-10'. x = -3.7 Simplifying x = -3.7
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