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Simplifying -4(x + 6) + 3 = 6(x + 3) + 8 Reorder the terms: -4(6 + x) + 3 = 6(x + 3) + 8 (6 * -4 + x * -4) + 3 = 6(x + 3) + 8 (-24 + -4x) + 3 = 6(x + 3) + 8 Reorder the terms: -24 + 3 + -4x = 6(x + 3) + 8 Combine like terms: -24 + 3 = -21 -21 + -4x = 6(x + 3) + 8 Reorder the terms: -21 + -4x = 6(3 + x) + 8 -21 + -4x = (3 * 6 + x * 6) + 8 -21 + -4x = (18 + 6x) + 8 Reorder the terms: -21 + -4x = 18 + 8 + 6x Combine like terms: 18 + 8 = 26 -21 + -4x = 26 + 6x Solving -21 + -4x = 26 + 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 = 26 + 6x + -6x Combine like terms: -4x + -6x = -10x -21 + -10x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -10x = 26 + 0 -21 + -10x = 26 Add '21' to each side of the equation. -21 + 21 + -10x = 26 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 26 + 21 -10x = 26 + 21 Combine like terms: 26 + 21 = 47 -10x = 47 Divide each side by '-10'. x = -4.7 Simplifying x = -4.7
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