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Simplifying -3(x + 4) + 6 = 7(x + 3) + 4 Reorder the terms: -3(4 + x) + 6 = 7(x + 3) + 4 (4 * -3 + x * -3) + 6 = 7(x + 3) + 4 (-12 + -3x) + 6 = 7(x + 3) + 4 Reorder the terms: -12 + 6 + -3x = 7(x + 3) + 4 Combine like terms: -12 + 6 = -6 -6 + -3x = 7(x + 3) + 4 Reorder the terms: -6 + -3x = 7(3 + x) + 4 -6 + -3x = (3 * 7 + x * 7) + 4 -6 + -3x = (21 + 7x) + 4 Reorder the terms: -6 + -3x = 21 + 4 + 7x Combine like terms: 21 + 4 = 25 -6 + -3x = 25 + 7x Solving -6 + -3x = 25 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -3x + -7x = 25 + 7x + -7x Combine like terms: -3x + -7x = -10x -6 + -10x = 25 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -10x = 25 + 0 -6 + -10x = 25 Add '6' to each side of the equation. -6 + 6 + -10x = 25 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 25 + 6 -10x = 25 + 6 Combine like terms: 25 + 6 = 31 -10x = 31 Divide each side by '-10'. x = -3.1 Simplifying x = -3.1
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