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Simplifying 5(3x + -5) + 2(16 + -3x) = 2(4x + 1) + -1 Reorder the terms: 5(-5 + 3x) + 2(16 + -3x) = 2(4x + 1) + -1 (-5 * 5 + 3x * 5) + 2(16 + -3x) = 2(4x + 1) + -1 (-25 + 15x) + 2(16 + -3x) = 2(4x + 1) + -1 -25 + 15x + (16 * 2 + -3x * 2) = 2(4x + 1) + -1 -25 + 15x + (32 + -6x) = 2(4x + 1) + -1 Reorder the terms: -25 + 32 + 15x + -6x = 2(4x + 1) + -1 Combine like terms: -25 + 32 = 7 7 + 15x + -6x = 2(4x + 1) + -1 Combine like terms: 15x + -6x = 9x 7 + 9x = 2(4x + 1) + -1 Reorder the terms: 7 + 9x = 2(1 + 4x) + -1 7 + 9x = (1 * 2 + 4x * 2) + -1 7 + 9x = (2 + 8x) + -1 Reorder the terms: 7 + 9x = 2 + -1 + 8x Combine like terms: 2 + -1 = 1 7 + 9x = 1 + 8x Solving 7 + 9x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x 7 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 1x = 1 + 0 7 + 1x = 1 Add '-7' to each side of the equation. 7 + -7 + 1x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 1 + -7 1x = 1 + -7 Combine like terms: 1 + -7 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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