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Simplifying 6(2x + 3) + 10 = 8(3x + -4) Reorder the terms: 6(3 + 2x) + 10 = 8(3x + -4) (3 * 6 + 2x * 6) + 10 = 8(3x + -4) (18 + 12x) + 10 = 8(3x + -4) Reorder the terms: 18 + 10 + 12x = 8(3x + -4) Combine like terms: 18 + 10 = 28 28 + 12x = 8(3x + -4) Reorder the terms: 28 + 12x = 8(-4 + 3x) 28 + 12x = (-4 * 8 + 3x * 8) 28 + 12x = (-32 + 24x) Solving 28 + 12x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 28 + 12x + -24x = -32 + 24x + -24x Combine like terms: 12x + -24x = -12x 28 + -12x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -12x = -32 + 0 28 + -12x = -32 Add '-28' to each side of the equation. 28 + -28 + -12x = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = -32 + -28 -12x = -32 + -28 Combine like terms: -32 + -28 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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