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Simplifying 7(2x + 1) + 5x = 3(8x + -3) Reorder the terms: 7(1 + 2x) + 5x = 3(8x + -3) (1 * 7 + 2x * 7) + 5x = 3(8x + -3) (7 + 14x) + 5x = 3(8x + -3) Combine like terms: 14x + 5x = 19x 7 + 19x = 3(8x + -3) Reorder the terms: 7 + 19x = 3(-3 + 8x) 7 + 19x = (-3 * 3 + 8x * 3) 7 + 19x = (-9 + 24x) Solving 7 + 19x = -9 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 7 + 19x + -24x = -9 + 24x + -24x Combine like terms: 19x + -24x = -5x 7 + -5x = -9 + 24x + -24x Combine like terms: 24x + -24x = 0 7 + -5x = -9 + 0 7 + -5x = -9 Add '-7' to each side of the equation. 7 + -7 + -5x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -9 + -7 -5x = -9 + -7 Combine like terms: -9 + -7 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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