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Simplifying 4(3x + 2) + 5(2x + -3) = 8(2x + 13) Reorder the terms: 4(2 + 3x) + 5(2x + -3) = 8(2x + 13) (2 * 4 + 3x * 4) + 5(2x + -3) = 8(2x + 13) (8 + 12x) + 5(2x + -3) = 8(2x + 13) Reorder the terms: 8 + 12x + 5(-3 + 2x) = 8(2x + 13) 8 + 12x + (-3 * 5 + 2x * 5) = 8(2x + 13) 8 + 12x + (-15 + 10x) = 8(2x + 13) Reorder the terms: 8 + -15 + 12x + 10x = 8(2x + 13) Combine like terms: 8 + -15 = -7 -7 + 12x + 10x = 8(2x + 13) Combine like terms: 12x + 10x = 22x -7 + 22x = 8(2x + 13) Reorder the terms: -7 + 22x = 8(13 + 2x) -7 + 22x = (13 * 8 + 2x * 8) -7 + 22x = (104 + 16x) Solving -7 + 22x = 104 + 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. -7 + 22x + -16x = 104 + 16x + -16x Combine like terms: 22x + -16x = 6x -7 + 6x = 104 + 16x + -16x Combine like terms: 16x + -16x = 0 -7 + 6x = 104 + 0 -7 + 6x = 104 Add '7' to each side of the equation. -7 + 7 + 6x = 104 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 104 + 7 6x = 104 + 7 Combine like terms: 104 + 7 = 111 6x = 111 Divide each side by '6'. x = 18.5 Simplifying x = 18.5
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