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Simplifying 6(x + 4) + -10 = 3x + 20 + 4x + -2 Reorder the terms: 6(4 + x) + -10 = 3x + 20 + 4x + -2 (4 * 6 + x * 6) + -10 = 3x + 20 + 4x + -2 (24 + 6x) + -10 = 3x + 20 + 4x + -2 Reorder the terms: 24 + -10 + 6x = 3x + 20 + 4x + -2 Combine like terms: 24 + -10 = 14 14 + 6x = 3x + 20 + 4x + -2 Reorder the terms: 14 + 6x = 20 + -2 + 3x + 4x Combine like terms: 20 + -2 = 18 14 + 6x = 18 + 3x + 4x Combine like terms: 3x + 4x = 7x 14 + 6x = 18 + 7x Solving 14 + 6x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 6x + -7x = 18 + 7x + -7x Combine like terms: 6x + -7x = -1x 14 + -1x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -1x = 18 + 0 14 + -1x = 18 Add '-14' to each side of the equation. 14 + -14 + -1x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 18 + -14 -1x = 18 + -14 Combine like terms: 18 + -14 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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