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Simplifying 3x + 10 = 8(-2x + 6) Reorder the terms: 10 + 3x = 8(-2x + 6) Reorder the terms: 10 + 3x = 8(6 + -2x) 10 + 3x = (6 * 8 + -2x * 8) 10 + 3x = (48 + -16x) Solving 10 + 3x = 48 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 10 + 3x + 16x = 48 + -16x + 16x Combine like terms: 3x + 16x = 19x 10 + 19x = 48 + -16x + 16x Combine like terms: -16x + 16x = 0 10 + 19x = 48 + 0 10 + 19x = 48 Add '-10' to each side of the equation. 10 + -10 + 19x = 48 + -10 Combine like terms: 10 + -10 = 0 0 + 19x = 48 + -10 19x = 48 + -10 Combine like terms: 48 + -10 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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