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Simplifying 8(2x + -3) + 1 = 6(x + -4) + x Reorder the terms: 8(-3 + 2x) + 1 = 6(x + -4) + x (-3 * 8 + 2x * 8) + 1 = 6(x + -4) + x (-24 + 16x) + 1 = 6(x + -4) + x Reorder the terms: -24 + 1 + 16x = 6(x + -4) + x Combine like terms: -24 + 1 = -23 -23 + 16x = 6(x + -4) + x Reorder the terms: -23 + 16x = 6(-4 + x) + x -23 + 16x = (-4 * 6 + x * 6) + x -23 + 16x = (-24 + 6x) + x Combine like terms: 6x + x = 7x -23 + 16x = -24 + 7x Solving -23 + 16x = -24 + 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. -23 + 16x + -7x = -24 + 7x + -7x Combine like terms: 16x + -7x = 9x -23 + 9x = -24 + 7x + -7x Combine like terms: 7x + -7x = 0 -23 + 9x = -24 + 0 -23 + 9x = -24 Add '23' to each side of the equation. -23 + 23 + 9x = -24 + 23 Combine like terms: -23 + 23 = 0 0 + 9x = -24 + 23 9x = -24 + 23 Combine like terms: -24 + 23 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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