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Simplifying 23.2(x + -5) = 4x + -2(x + 5) Reorder the terms: 23.2(-5 + x) = 4x + -2(x + 5) (-5 * 23.2 + x * 23.2) = 4x + -2(x + 5) (-116 + 23.2x) = 4x + -2(x + 5) Reorder the terms: -116 + 23.2x = 4x + -2(5 + x) -116 + 23.2x = 4x + (5 * -2 + x * -2) -116 + 23.2x = 4x + (-10 + -2x) Reorder the terms: -116 + 23.2x = -10 + 4x + -2x Combine like terms: 4x + -2x = 2x -116 + 23.2x = -10 + 2x Solving -116 + 23.2x = -10 + 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. -116 + 23.2x + -2x = -10 + 2x + -2x Combine like terms: 23.2x + -2x = 21.2x -116 + 21.2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -116 + 21.2x = -10 + 0 -116 + 21.2x = -10 Add '116' to each side of the equation. -116 + 116 + 21.2x = -10 + 116 Combine like terms: -116 + 116 = 0 0 + 21.2x = -10 + 116 21.2x = -10 + 116 Combine like terms: -10 + 116 = 106 21.2x = 106 Divide each side by '21.2'. x = 5 Simplifying x = 5
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