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Simplifying 8(3x + -2) + 2 + -1x + 2x + 4 = 5x + 3 + 2(3 * 10) + 4x + 7 Reorder the terms: 8(-2 + 3x) + 2 + -1x + 2x + 4 = 5x + 3 + 2(3 * 10) + 4x + 7 (-2 * 8 + 3x * 8) + 2 + -1x + 2x + 4 = 5x + 3 + 2(3 * 10) + 4x + 7 (-16 + 24x) + 2 + -1x + 2x + 4 = 5x + 3 + 2(3 * 10) + 4x + 7 Reorder the terms: -16 + 2 + 4 + 24x + -1x + 2x = 5x + 3 + 2(3 * 10) + 4x + 7 Combine like terms: -16 + 2 = -14 -14 + 4 + 24x + -1x + 2x = 5x + 3 + 2(3 * 10) + 4x + 7 Combine like terms: -14 + 4 = -10 -10 + 24x + -1x + 2x = 5x + 3 + 2(3 * 10) + 4x + 7 Combine like terms: 24x + -1x = 23x -10 + 23x + 2x = 5x + 3 + 2(3 * 10) + 4x + 7 Combine like terms: 23x + 2x = 25x -10 + 25x = 5x + 3 + 2(3 * 10) + 4x + 7 Multiply 3 * 10 -10 + 25x = 5x + 3 + 2(30) + 4x + 7 Multiply 2 * 30 -10 + 25x = 5x + 3 + 60 + 4x + 7 Reorder the terms: -10 + 25x = 3 + 60 + 7 + 5x + 4x Combine like terms: 3 + 60 = 63 -10 + 25x = 63 + 7 + 5x + 4x Combine like terms: 63 + 7 = 70 -10 + 25x = 70 + 5x + 4x Combine like terms: 5x + 4x = 9x -10 + 25x = 70 + 9x Solving -10 + 25x = 70 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 25x + -9x = 70 + 9x + -9x Combine like terms: 25x + -9x = 16x -10 + 16x = 70 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 16x = 70 + 0 -10 + 16x = 70 Add '10' to each side of the equation. -10 + 10 + 16x = 70 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 70 + 10 16x = 70 + 10 Combine like terms: 70 + 10 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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