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Simplifying -2x + 4(4x + 2) = 3(5x + -3) + 16 Reorder the terms: -2x + 4(2 + 4x) = 3(5x + -3) + 16 -2x + (2 * 4 + 4x * 4) = 3(5x + -3) + 16 -2x + (8 + 16x) = 3(5x + -3) + 16 Reorder the terms: 8 + -2x + 16x = 3(5x + -3) + 16 Combine like terms: -2x + 16x = 14x 8 + 14x = 3(5x + -3) + 16 Reorder the terms: 8 + 14x = 3(-3 + 5x) + 16 8 + 14x = (-3 * 3 + 5x * 3) + 16 8 + 14x = (-9 + 15x) + 16 Reorder the terms: 8 + 14x = -9 + 16 + 15x Combine like terms: -9 + 16 = 7 8 + 14x = 7 + 15x Solving 8 + 14x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8 + 14x + -15x = 7 + 15x + -15x Combine like terms: 14x + -15x = -1x 8 + -1x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 8 + -1x = 7 + 0 8 + -1x = 7 Add '-8' to each side of the equation. 8 + -8 + -1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 7 + -8 -1x = 7 + -8 Combine like terms: 7 + -8 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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