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Simplifying 4(2x + -3) = 8(2x + 5) Reorder the terms: 4(-3 + 2x) = 8(2x + 5) (-3 * 4 + 2x * 4) = 8(2x + 5) (-12 + 8x) = 8(2x + 5) Reorder the terms: -12 + 8x = 8(5 + 2x) -12 + 8x = (5 * 8 + 2x * 8) -12 + 8x = (40 + 16x) Solving -12 + 8x = 40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 8x + -16x = 40 + 16x + -16x Combine like terms: 8x + -16x = -8x -12 + -8x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -8x = 40 + 0 -12 + -8x = 40 Add '12' to each side of the equation. -12 + 12 + -8x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 40 + 12 -8x = 40 + 12 Combine like terms: 40 + 12 = 52 -8x = 52 Divide each side by '-8'. x = -6.5 Simplifying x = -6.5
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