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Simplifying -3(x + 4) + 4 = 7(x + 5) + 3 Reorder the terms: -3(4 + x) + 4 = 7(x + 5) + 3 (4 * -3 + x * -3) + 4 = 7(x + 5) + 3 (-12 + -3x) + 4 = 7(x + 5) + 3 Reorder the terms: -12 + 4 + -3x = 7(x + 5) + 3 Combine like terms: -12 + 4 = -8 -8 + -3x = 7(x + 5) + 3 Reorder the terms: -8 + -3x = 7(5 + x) + 3 -8 + -3x = (5 * 7 + x * 7) + 3 -8 + -3x = (35 + 7x) + 3 Reorder the terms: -8 + -3x = 35 + 3 + 7x Combine like terms: 35 + 3 = 38 -8 + -3x = 38 + 7x Solving -8 + -3x = 38 + 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 = 38 + 7x + -7x Combine like terms: -3x + -7x = -10x -8 + -10x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -10x = 38 + 0 -8 + -10x = 38 Add '8' to each side of the equation. -8 + 8 + -10x = 38 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 38 + 8 -10x = 38 + 8 Combine like terms: 38 + 8 = 46 -10x = 46 Divide each side by '-10'. x = -4.6 Simplifying x = -4.6
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