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Simplifying 2(3x + 4) + -5(6x + 7) + 8(9x + -10) = 1 Reorder the terms: 2(4 + 3x) + -5(6x + 7) + 8(9x + -10) = 1 (4 * 2 + 3x * 2) + -5(6x + 7) + 8(9x + -10) = 1 (8 + 6x) + -5(6x + 7) + 8(9x + -10) = 1 Reorder the terms: 8 + 6x + -5(7 + 6x) + 8(9x + -10) = 1 8 + 6x + (7 * -5 + 6x * -5) + 8(9x + -10) = 1 8 + 6x + (-35 + -30x) + 8(9x + -10) = 1 Reorder the terms: 8 + 6x + -35 + -30x + 8(-10 + 9x) = 1 8 + 6x + -35 + -30x + (-10 * 8 + 9x * 8) = 1 8 + 6x + -35 + -30x + (-80 + 72x) = 1 Reorder the terms: 8 + -35 + -80 + 6x + -30x + 72x = 1 Combine like terms: 8 + -35 = -27 -27 + -80 + 6x + -30x + 72x = 1 Combine like terms: -27 + -80 = -107 -107 + 6x + -30x + 72x = 1 Combine like terms: 6x + -30x = -24x -107 + -24x + 72x = 1 Combine like terms: -24x + 72x = 48x -107 + 48x = 1 Solving -107 + 48x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '107' to each side of the equation. -107 + 107 + 48x = 1 + 107 Combine like terms: -107 + 107 = 0 0 + 48x = 1 + 107 48x = 1 + 107 Combine like terms: 1 + 107 = 108 48x = 108 Divide each side by '48'. x = 2.25 Simplifying x = 2.25
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