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Simplifying 6[5 + -3(x + -4)] = 4x + 14 Reorder the terms: 6[5 + -3(-4 + x)] = 4x + 14 6[5 + (-4 * -3 + x * -3)] = 4x + 14 6[5 + (12 + -3x)] = 4x + 14 Combine like terms: 5 + 12 = 17 6[17 + -3x] = 4x + 14 [17 * 6 + -3x * 6] = 4x + 14 [102 + -18x] = 4x + 14 Reorder the terms: 102 + -18x = 14 + 4x Solving 102 + -18x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 102 + -18x + -4x = 14 + 4x + -4x Combine like terms: -18x + -4x = -22x 102 + -22x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 102 + -22x = 14 + 0 102 + -22x = 14 Add '-102' to each side of the equation. 102 + -102 + -22x = 14 + -102 Combine like terms: 102 + -102 = 0 0 + -22x = 14 + -102 -22x = 14 + -102 Combine like terms: 14 + -102 = -88 -22x = -88 Divide each side by '-22'. x = 4 Simplifying x = 4
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