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Simplifying 6x + 10 = 4(2x + 3) Reorder the terms: 10 + 6x = 4(2x + 3) Reorder the terms: 10 + 6x = 4(3 + 2x) 10 + 6x = (3 * 4 + 2x * 4) 10 + 6x = (12 + 8x) Solving 10 + 6x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 6x + -8x = 12 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = 12 + 0 10 + -2x = 12 Add '-10' to each side of the equation. 10 + -10 + -2x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 12 + -10 -2x = 12 + -10 Combine like terms: 12 + -10 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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