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Simplifying 8(2x + -3) + -1x = -1x + 8(1 + x) Reorder the terms: 8(-3 + 2x) + -1x = -1x + 8(1 + x) (-3 * 8 + 2x * 8) + -1x = -1x + 8(1 + x) (-24 + 16x) + -1x = -1x + 8(1 + x) Combine like terms: 16x + -1x = 15x -24 + 15x = -1x + 8(1 + x) -24 + 15x = -1x + (1 * 8 + x * 8) -24 + 15x = -1x + (8 + 8x) Reorder the terms: -24 + 15x = 8 + -1x + 8x Combine like terms: -1x + 8x = 7x -24 + 15x = 8 + 7x Solving -24 + 15x = 8 + 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. -24 + 15x + -7x = 8 + 7x + -7x Combine like terms: 15x + -7x = 8x -24 + 8x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 8x = 8 + 0 -24 + 8x = 8 Add '24' to each side of the equation. -24 + 24 + 8x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 8 + 24 8x = 8 + 24 Combine like terms: 8 + 24 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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