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Simplifying -1x + 6[5x + -3] = 3[5 + -8x] + 7 Reorder the terms: -1x + 6[-3 + 5x] = 3[5 + -8x] + 7 -1x + [-3 * 6 + 5x * 6] = 3[5 + -8x] + 7 -1x + [-18 + 30x] = 3[5 + -8x] + 7 Reorder the terms: -18 + -1x + 30x = 3[5 + -8x] + 7 Combine like terms: -1x + 30x = 29x -18 + 29x = 3[5 + -8x] + 7 -18 + 29x = [5 * 3 + -8x * 3] + 7 -18 + 29x = [15 + -24x] + 7 Reorder the terms: -18 + 29x = 15 + 7 + -24x Combine like terms: 15 + 7 = 22 -18 + 29x = 22 + -24x Solving -18 + 29x = 22 + -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. -18 + 29x + 24x = 22 + -24x + 24x Combine like terms: 29x + 24x = 53x -18 + 53x = 22 + -24x + 24x Combine like terms: -24x + 24x = 0 -18 + 53x = 22 + 0 -18 + 53x = 22 Add '18' to each side of the equation. -18 + 18 + 53x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 53x = 22 + 18 53x = 22 + 18 Combine like terms: 22 + 18 = 40 53x = 40 Divide each side by '53'. x = 0.7547169811 Simplifying x = 0.7547169811
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