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Simplifying 5(2x + -3) + -2(x + 4) = 4x + 7 Reorder the terms: 5(-3 + 2x) + -2(x + 4) = 4x + 7 (-3 * 5 + 2x * 5) + -2(x + 4) = 4x + 7 (-15 + 10x) + -2(x + 4) = 4x + 7 Reorder the terms: -15 + 10x + -2(4 + x) = 4x + 7 -15 + 10x + (4 * -2 + x * -2) = 4x + 7 -15 + 10x + (-8 + -2x) = 4x + 7 Reorder the terms: -15 + -8 + 10x + -2x = 4x + 7 Combine like terms: -15 + -8 = -23 -23 + 10x + -2x = 4x + 7 Combine like terms: 10x + -2x = 8x -23 + 8x = 4x + 7 Reorder the terms: -23 + 8x = 7 + 4x Solving -23 + 8x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -23 + 8x + -4x = 7 + 4x + -4x Combine like terms: 8x + -4x = 4x -23 + 4x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 4x = 7 + 0 -23 + 4x = 7 Add '23' to each side of the equation. -23 + 23 + 4x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = 7 + 23 4x = 7 + 23 Combine like terms: 7 + 23 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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