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Simplifying -4(x + 5) + 3 = 6(x + 4) + 3 Reorder the terms: -4(5 + x) + 3 = 6(x + 4) + 3 (5 * -4 + x * -4) + 3 = 6(x + 4) + 3 (-20 + -4x) + 3 = 6(x + 4) + 3 Reorder the terms: -20 + 3 + -4x = 6(x + 4) + 3 Combine like terms: -20 + 3 = -17 -17 + -4x = 6(x + 4) + 3 Reorder the terms: -17 + -4x = 6(4 + x) + 3 -17 + -4x = (4 * 6 + x * 6) + 3 -17 + -4x = (24 + 6x) + 3 Reorder the terms: -17 + -4x = 24 + 3 + 6x Combine like terms: 24 + 3 = 27 -17 + -4x = 27 + 6x Solving -17 + -4x = 27 + 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. -17 + -4x + -6x = 27 + 6x + -6x Combine like terms: -4x + -6x = -10x -17 + -10x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -10x = 27 + 0 -17 + -10x = 27 Add '17' to each side of the equation. -17 + 17 + -10x = 27 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 27 + 17 -10x = 27 + 17 Combine like terms: 27 + 17 = 44 -10x = 44 Divide each side by '-10'. x = -4.4 Simplifying x = -4.4
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