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Simplifying 14(40x + -38) + 15 = 22(8x + 17) + -2 Reorder the terms: 14(-38 + 40x) + 15 = 22(8x + 17) + -2 (-38 * 14 + 40x * 14) + 15 = 22(8x + 17) + -2 (-532 + 560x) + 15 = 22(8x + 17) + -2 Reorder the terms: -532 + 15 + 560x = 22(8x + 17) + -2 Combine like terms: -532 + 15 = -517 -517 + 560x = 22(8x + 17) + -2 Reorder the terms: -517 + 560x = 22(17 + 8x) + -2 -517 + 560x = (17 * 22 + 8x * 22) + -2 -517 + 560x = (374 + 176x) + -2 Reorder the terms: -517 + 560x = 374 + -2 + 176x Combine like terms: 374 + -2 = 372 -517 + 560x = 372 + 176x Solving -517 + 560x = 372 + 176x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-176x' to each side of the equation. -517 + 560x + -176x = 372 + 176x + -176x Combine like terms: 560x + -176x = 384x -517 + 384x = 372 + 176x + -176x Combine like terms: 176x + -176x = 0 -517 + 384x = 372 + 0 -517 + 384x = 372 Add '517' to each side of the equation. -517 + 517 + 384x = 372 + 517 Combine like terms: -517 + 517 = 0 0 + 384x = 372 + 517 384x = 372 + 517 Combine like terms: 372 + 517 = 889 384x = 889 Divide each side by '384'. x = 2.315104167 Simplifying x = 2.315104167
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