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Simplifying 4(x + -4) + 2x = 3(x + -2) + 5 Reorder the terms: 4(-4 + x) + 2x = 3(x + -2) + 5 (-4 * 4 + x * 4) + 2x = 3(x + -2) + 5 (-16 + 4x) + 2x = 3(x + -2) + 5 Combine like terms: 4x + 2x = 6x -16 + 6x = 3(x + -2) + 5 Reorder the terms: -16 + 6x = 3(-2 + x) + 5 -16 + 6x = (-2 * 3 + x * 3) + 5 -16 + 6x = (-6 + 3x) + 5 Reorder the terms: -16 + 6x = -6 + 5 + 3x Combine like terms: -6 + 5 = -1 -16 + 6x = -1 + 3x Solving -16 + 6x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 6x + -3x = -1 + 3x + -3x Combine like terms: 6x + -3x = 3x -16 + 3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 3x = -1 + 0 -16 + 3x = -1 Add '16' to each side of the equation. -16 + 16 + 3x = -1 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = -1 + 16 3x = -1 + 16 Combine like terms: -1 + 16 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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