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Simplifying 8(2x + 6) + -3(x + -4) = 14x + 5 Reorder the terms: 8(6 + 2x) + -3(x + -4) = 14x + 5 (6 * 8 + 2x * 8) + -3(x + -4) = 14x + 5 (48 + 16x) + -3(x + -4) = 14x + 5 Reorder the terms: 48 + 16x + -3(-4 + x) = 14x + 5 48 + 16x + (-4 * -3 + x * -3) = 14x + 5 48 + 16x + (12 + -3x) = 14x + 5 Reorder the terms: 48 + 12 + 16x + -3x = 14x + 5 Combine like terms: 48 + 12 = 60 60 + 16x + -3x = 14x + 5 Combine like terms: 16x + -3x = 13x 60 + 13x = 14x + 5 Reorder the terms: 60 + 13x = 5 + 14x Solving 60 + 13x = 5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 60 + 13x + -14x = 5 + 14x + -14x Combine like terms: 13x + -14x = -1x 60 + -1x = 5 + 14x + -14x Combine like terms: 14x + -14x = 0 60 + -1x = 5 + 0 60 + -1x = 5 Add '-60' to each side of the equation. 60 + -60 + -1x = 5 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 5 + -60 -1x = 5 + -60 Combine like terms: 5 + -60 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55
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