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Simplifying -4(x + 6) + 3 = 6(x + 5) + 6 Reorder the terms: -4(6 + x) + 3 = 6(x + 5) + 6 (6 * -4 + x * -4) + 3 = 6(x + 5) + 6 (-24 + -4x) + 3 = 6(x + 5) + 6 Reorder the terms: -24 + 3 + -4x = 6(x + 5) + 6 Combine like terms: -24 + 3 = -21 -21 + -4x = 6(x + 5) + 6 Reorder the terms: -21 + -4x = 6(5 + x) + 6 -21 + -4x = (5 * 6 + x * 6) + 6 -21 + -4x = (30 + 6x) + 6 Reorder the terms: -21 + -4x = 30 + 6 + 6x Combine like terms: 30 + 6 = 36 -21 + -4x = 36 + 6x Solving -21 + -4x = 36 + 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. -21 + -4x + -6x = 36 + 6x + -6x Combine like terms: -4x + -6x = -10x -21 + -10x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -10x = 36 + 0 -21 + -10x = 36 Add '21' to each side of the equation. -21 + 21 + -10x = 36 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 36 + 21 -10x = 36 + 21 Combine like terms: 36 + 21 = 57 -10x = 57 Divide each side by '-10'. x = -5.7 Simplifying x = -5.7
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