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Simplifying -2(x + 3) + 4 = 8(x + 5) + 7 Reorder the terms: -2(3 + x) + 4 = 8(x + 5) + 7 (3 * -2 + x * -2) + 4 = 8(x + 5) + 7 (-6 + -2x) + 4 = 8(x + 5) + 7 Reorder the terms: -6 + 4 + -2x = 8(x + 5) + 7 Combine like terms: -6 + 4 = -2 -2 + -2x = 8(x + 5) + 7 Reorder the terms: -2 + -2x = 8(5 + x) + 7 -2 + -2x = (5 * 8 + x * 8) + 7 -2 + -2x = (40 + 8x) + 7 Reorder the terms: -2 + -2x = 40 + 7 + 8x Combine like terms: 40 + 7 = 47 -2 + -2x = 47 + 8x Solving -2 + -2x = 47 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + -2x + -8x = 47 + 8x + -8x Combine like terms: -2x + -8x = -10x -2 + -10x = 47 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -10x = 47 + 0 -2 + -10x = 47 Add '2' to each side of the equation. -2 + 2 + -10x = 47 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 47 + 2 -10x = 47 + 2 Combine like terms: 47 + 2 = 49 -10x = 49 Divide each side by '-10'. x = -4.9 Simplifying x = -4.9
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