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Simplifying 6x + 2(x + -8) = 4(x + 1) + -3 Reorder the terms: 6x + 2(-8 + x) = 4(x + 1) + -3 6x + (-8 * 2 + x * 2) = 4(x + 1) + -3 6x + (-16 + 2x) = 4(x + 1) + -3 Reorder the terms: -16 + 6x + 2x = 4(x + 1) + -3 Combine like terms: 6x + 2x = 8x -16 + 8x = 4(x + 1) + -3 Reorder the terms: -16 + 8x = 4(1 + x) + -3 -16 + 8x = (1 * 4 + x * 4) + -3 -16 + 8x = (4 + 4x) + -3 Reorder the terms: -16 + 8x = 4 + -3 + 4x Combine like terms: 4 + -3 = 1 -16 + 8x = 1 + 4x Solving -16 + 8x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 8x + -4x = 1 + 4x + -4x Combine like terms: 8x + -4x = 4x -16 + 4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 4x = 1 + 0 -16 + 4x = 1 Add '16' to each side of the equation. -16 + 16 + 4x = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 1 + 16 4x = 1 + 16 Combine like terms: 1 + 16 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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