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Simplifying x + -46 = 8(2x + 3) + -10 Reorder the terms: -46 + x = 8(2x + 3) + -10 Reorder the terms: -46 + x = 8(3 + 2x) + -10 -46 + x = (3 * 8 + 2x * 8) + -10 -46 + x = (24 + 16x) + -10 Reorder the terms: -46 + x = 24 + -10 + 16x Combine like terms: 24 + -10 = 14 -46 + x = 14 + 16x Solving -46 + x = 14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -46 + x + -16x = 14 + 16x + -16x Combine like terms: x + -16x = -15x -46 + -15x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 -46 + -15x = 14 + 0 -46 + -15x = 14 Add '46' to each side of the equation. -46 + 46 + -15x = 14 + 46 Combine like terms: -46 + 46 = 0 0 + -15x = 14 + 46 -15x = 14 + 46 Combine like terms: 14 + 46 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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