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Simplifying -2(x + 5) + 3 = 8(x + 4) + 3 Reorder the terms: -2(5 + x) + 3 = 8(x + 4) + 3 (5 * -2 + x * -2) + 3 = 8(x + 4) + 3 (-10 + -2x) + 3 = 8(x + 4) + 3 Reorder the terms: -10 + 3 + -2x = 8(x + 4) + 3 Combine like terms: -10 + 3 = -7 -7 + -2x = 8(x + 4) + 3 Reorder the terms: -7 + -2x = 8(4 + x) + 3 -7 + -2x = (4 * 8 + x * 8) + 3 -7 + -2x = (32 + 8x) + 3 Reorder the terms: -7 + -2x = 32 + 3 + 8x Combine like terms: 32 + 3 = 35 -7 + -2x = 35 + 8x Solving -7 + -2x = 35 + 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. -7 + -2x + -8x = 35 + 8x + -8x Combine like terms: -2x + -8x = -10x -7 + -10x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -10x = 35 + 0 -7 + -10x = 35 Add '7' to each side of the equation. -7 + 7 + -10x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 35 + 7 -10x = 35 + 7 Combine like terms: 35 + 7 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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