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Simplifying 6(x + 3) + 10 = 2(4x + -5) Reorder the terms: 6(3 + x) + 10 = 2(4x + -5) (3 * 6 + x * 6) + 10 = 2(4x + -5) (18 + 6x) + 10 = 2(4x + -5) Reorder the terms: 18 + 10 + 6x = 2(4x + -5) Combine like terms: 18 + 10 = 28 28 + 6x = 2(4x + -5) Reorder the terms: 28 + 6x = 2(-5 + 4x) 28 + 6x = (-5 * 2 + 4x * 2) 28 + 6x = (-10 + 8x) Solving 28 + 6x = -10 + 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. 28 + 6x + -8x = -10 + 8x + -8x Combine like terms: 6x + -8x = -2x 28 + -2x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -2x = -10 + 0 28 + -2x = -10 Add '-28' to each side of the equation. 28 + -28 + -2x = -10 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = -10 + -28 -2x = -10 + -28 Combine like terms: -10 + -28 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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