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Simplifying 10x + 4 = 4(2x + 1) + -1x + 8 Reorder the terms: 4 + 10x = 4(2x + 1) + -1x + 8 Reorder the terms: 4 + 10x = 4(1 + 2x) + -1x + 8 4 + 10x = (1 * 4 + 2x * 4) + -1x + 8 4 + 10x = (4 + 8x) + -1x + 8 Reorder the terms: 4 + 10x = 4 + 8 + 8x + -1x Combine like terms: 4 + 8 = 12 4 + 10x = 12 + 8x + -1x Combine like terms: 8x + -1x = 7x 4 + 10x = 12 + 7x Solving 4 + 10x = 12 + 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. 4 + 10x + -7x = 12 + 7x + -7x Combine like terms: 10x + -7x = 3x 4 + 3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 3x = 12 + 0 4 + 3x = 12 Add '-4' to each side of the equation. 4 + -4 + 3x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 12 + -4 3x = 12 + -4 Combine like terms: 12 + -4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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