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Simplifying 8x + 3 + -2x = 10 + -2(x + -4) Reorder the terms: 3 + 8x + -2x = 10 + -2(x + -4) Combine like terms: 8x + -2x = 6x 3 + 6x = 10 + -2(x + -4) Reorder the terms: 3 + 6x = 10 + -2(-4 + x) 3 + 6x = 10 + (-4 * -2 + x * -2) 3 + 6x = 10 + (8 + -2x) Combine like terms: 10 + 8 = 18 3 + 6x = 18 + -2x Solving 3 + 6x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 6x + 2x = 18 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 18 + 0 3 + 8x = 18 Add '-3' to each side of the equation. 3 + -3 + 8x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 18 + -3 8x = 18 + -3 Combine like terms: 18 + -3 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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