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Simplifying 8(x + -2) + 1 = 3(x + -2) + -1 Reorder the terms: 8(-2 + x) + 1 = 3(x + -2) + -1 (-2 * 8 + x * 8) + 1 = 3(x + -2) + -1 (-16 + 8x) + 1 = 3(x + -2) + -1 Reorder the terms: -16 + 1 + 8x = 3(x + -2) + -1 Combine like terms: -16 + 1 = -15 -15 + 8x = 3(x + -2) + -1 Reorder the terms: -15 + 8x = 3(-2 + x) + -1 -15 + 8x = (-2 * 3 + x * 3) + -1 -15 + 8x = (-6 + 3x) + -1 Reorder the terms: -15 + 8x = -6 + -1 + 3x Combine like terms: -6 + -1 = -7 -15 + 8x = -7 + 3x Solving -15 + 8x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 8x + -3x = -7 + 3x + -3x Combine like terms: 8x + -3x = 5x -15 + 5x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 5x = -7 + 0 -15 + 5x = -7 Add '15' to each side of the equation. -15 + 15 + 5x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = -7 + 15 5x = -7 + 15 Combine like terms: -7 + 15 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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