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Simplifying -4(x + 3) + 3 = 6(x + 4) + 8 Reorder the terms: -4(3 + x) + 3 = 6(x + 4) + 8 (3 * -4 + x * -4) + 3 = 6(x + 4) + 8 (-12 + -4x) + 3 = 6(x + 4) + 8 Reorder the terms: -12 + 3 + -4x = 6(x + 4) + 8 Combine like terms: -12 + 3 = -9 -9 + -4x = 6(x + 4) + 8 Reorder the terms: -9 + -4x = 6(4 + x) + 8 -9 + -4x = (4 * 6 + x * 6) + 8 -9 + -4x = (24 + 6x) + 8 Reorder the terms: -9 + -4x = 24 + 8 + 6x Combine like terms: 24 + 8 = 32 -9 + -4x = 32 + 6x Solving -9 + -4x = 32 + 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. -9 + -4x + -6x = 32 + 6x + -6x Combine like terms: -4x + -6x = -10x -9 + -10x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -10x = 32 + 0 -9 + -10x = 32 Add '9' to each side of the equation. -9 + 9 + -10x = 32 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 32 + 9 -10x = 32 + 9 Combine like terms: 32 + 9 = 41 -10x = 41 Divide each side by '-10'. x = -4.1 Simplifying x = -4.1
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