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Simplifying 4(2x + -3) = 7(x + 5) Reorder the terms: 4(-3 + 2x) = 7(x + 5) (-3 * 4 + 2x * 4) = 7(x + 5) (-12 + 8x) = 7(x + 5) Reorder the terms: -12 + 8x = 7(5 + x) -12 + 8x = (5 * 7 + x * 7) -12 + 8x = (35 + 7x) Solving -12 + 8x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 8x + -7x = 35 + 7x + -7x Combine like terms: 8x + -7x = 1x -12 + 1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 1x = 35 + 0 -12 + 1x = 35 Add '12' to each side of the equation. -12 + 12 + 1x = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 35 + 12 1x = 35 + 12 Combine like terms: 35 + 12 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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