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Simplifying -3(x + 4) + 4 = 7(x + 2) + 5 Reorder the terms: -3(4 + x) + 4 = 7(x + 2) + 5 (4 * -3 + x * -3) + 4 = 7(x + 2) + 5 (-12 + -3x) + 4 = 7(x + 2) + 5 Reorder the terms: -12 + 4 + -3x = 7(x + 2) + 5 Combine like terms: -12 + 4 = -8 -8 + -3x = 7(x + 2) + 5 Reorder the terms: -8 + -3x = 7(2 + x) + 5 -8 + -3x = (2 * 7 + x * 7) + 5 -8 + -3x = (14 + 7x) + 5 Reorder the terms: -8 + -3x = 14 + 5 + 7x Combine like terms: 14 + 5 = 19 -8 + -3x = 19 + 7x Solving -8 + -3x = 19 + 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. -8 + -3x + -7x = 19 + 7x + -7x Combine like terms: -3x + -7x = -10x -8 + -10x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -10x = 19 + 0 -8 + -10x = 19 Add '8' to each side of the equation. -8 + 8 + -10x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 19 + 8 -10x = 19 + 8 Combine like terms: 19 + 8 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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