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Simplifying 7(2x + -3) = 5(2x + 0.5) Reorder the terms: 7(-3 + 2x) = 5(2x + 0.5) (-3 * 7 + 2x * 7) = 5(2x + 0.5) (-21 + 14x) = 5(2x + 0.5) Reorder the terms: -21 + 14x = 5(0.5 + 2x) -21 + 14x = (0.5 * 5 + 2x * 5) -21 + 14x = (2.5 + 10x) Solving -21 + 14x = 2.5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 14x + -10x = 2.5 + 10x + -10x Combine like terms: 14x + -10x = 4x -21 + 4x = 2.5 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 4x = 2.5 + 0 -21 + 4x = 2.5 Add '21' to each side of the equation. -21 + 21 + 4x = 2.5 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 2.5 + 21 4x = 2.5 + 21 Combine like terms: 2.5 + 21 = 23.5 4x = 23.5 Divide each side by '4'. x = 5.875 Simplifying x = 5.875
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