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Simplifying 4(x + -4) + -5 = 6x + 7.4 + -4x Reorder the terms: 4(-4 + x) + -5 = 6x + 7.4 + -4x (-4 * 4 + x * 4) + -5 = 6x + 7.4 + -4x (-16 + 4x) + -5 = 6x + 7.4 + -4x Reorder the terms: -16 + -5 + 4x = 6x + 7.4 + -4x Combine like terms: -16 + -5 = -21 -21 + 4x = 6x + 7.4 + -4x Reorder the terms: -21 + 4x = 7.4 + 6x + -4x Combine like terms: 6x + -4x = 2x -21 + 4x = 7.4 + 2x Solving -21 + 4x = 7.4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 4x + -2x = 7.4 + 2x + -2x Combine like terms: 4x + -2x = 2x -21 + 2x = 7.4 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 2x = 7.4 + 0 -21 + 2x = 7.4 Add '21' to each side of the equation. -21 + 21 + 2x = 7.4 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 7.4 + 21 2x = 7.4 + 21 Combine like terms: 7.4 + 21 = 28.4 2x = 28.4 Divide each side by '2'. x = 14.2 Simplifying x = 14.2
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