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Simplifying -4(x + 4) + 4 = 6(x + 3) + 9 Reorder the terms: -4(4 + x) + 4 = 6(x + 3) + 9 (4 * -4 + x * -4) + 4 = 6(x + 3) + 9 (-16 + -4x) + 4 = 6(x + 3) + 9 Reorder the terms: -16 + 4 + -4x = 6(x + 3) + 9 Combine like terms: -16 + 4 = -12 -12 + -4x = 6(x + 3) + 9 Reorder the terms: -12 + -4x = 6(3 + x) + 9 -12 + -4x = (3 * 6 + x * 6) + 9 -12 + -4x = (18 + 6x) + 9 Reorder the terms: -12 + -4x = 18 + 9 + 6x Combine like terms: 18 + 9 = 27 -12 + -4x = 27 + 6x Solving -12 + -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. -12 + -4x + -6x = 27 + 6x + -6x Combine like terms: -4x + -6x = -10x -12 + -10x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -10x = 27 + 0 -12 + -10x = 27 Add '12' to each side of the equation. -12 + 12 + -10x = 27 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 27 + 12 -10x = 27 + 12 Combine like terms: 27 + 12 = 39 -10x = 39 Divide each side by '-10'. x = -3.9 Simplifying x = -3.9
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