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Simplifying -4(x + 6) + 4 = 6(x + 3) + 3 Reorder the terms: -4(6 + x) + 4 = 6(x + 3) + 3 (6 * -4 + x * -4) + 4 = 6(x + 3) + 3 (-24 + -4x) + 4 = 6(x + 3) + 3 Reorder the terms: -24 + 4 + -4x = 6(x + 3) + 3 Combine like terms: -24 + 4 = -20 -20 + -4x = 6(x + 3) + 3 Reorder the terms: -20 + -4x = 6(3 + x) + 3 -20 + -4x = (3 * 6 + x * 6) + 3 -20 + -4x = (18 + 6x) + 3 Reorder the terms: -20 + -4x = 18 + 3 + 6x Combine like terms: 18 + 3 = 21 -20 + -4x = 21 + 6x Solving -20 + -4x = 21 + 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. -20 + -4x + -6x = 21 + 6x + -6x Combine like terms: -4x + -6x = -10x -20 + -10x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -10x = 21 + 0 -20 + -10x = 21 Add '20' to each side of the equation. -20 + 20 + -10x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = 21 + 20 -10x = 21 + 20 Combine like terms: 21 + 20 = 41 -10x = 41 Divide each side by '-10'. x = -4.1 Simplifying x = -4.1
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