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Simplifying 5(3x + -7) + 4x = 8(2x + 3) Reorder the terms: 5(-7 + 3x) + 4x = 8(2x + 3) (-7 * 5 + 3x * 5) + 4x = 8(2x + 3) (-35 + 15x) + 4x = 8(2x + 3) Combine like terms: 15x + 4x = 19x -35 + 19x = 8(2x + 3) Reorder the terms: -35 + 19x = 8(3 + 2x) -35 + 19x = (3 * 8 + 2x * 8) -35 + 19x = (24 + 16x) Solving -35 + 19x = 24 + 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. -35 + 19x + -16x = 24 + 16x + -16x Combine like terms: 19x + -16x = 3x -35 + 3x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 -35 + 3x = 24 + 0 -35 + 3x = 24 Add '35' to each side of the equation. -35 + 35 + 3x = 24 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 24 + 35 3x = 24 + 35 Combine like terms: 24 + 35 = 59 3x = 59 Divide each side by '3'. x = 19.66666667 Simplifying x = 19.66666667
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