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Simplifying 2(4x + -8) + -9(6x + -3) = 3(4x + 5) + -62 Reorder the terms: 2(-8 + 4x) + -9(6x + -3) = 3(4x + 5) + -62 (-8 * 2 + 4x * 2) + -9(6x + -3) = 3(4x + 5) + -62 (-16 + 8x) + -9(6x + -3) = 3(4x + 5) + -62 Reorder the terms: -16 + 8x + -9(-3 + 6x) = 3(4x + 5) + -62 -16 + 8x + (-3 * -9 + 6x * -9) = 3(4x + 5) + -62 -16 + 8x + (27 + -54x) = 3(4x + 5) + -62 Reorder the terms: -16 + 27 + 8x + -54x = 3(4x + 5) + -62 Combine like terms: -16 + 27 = 11 11 + 8x + -54x = 3(4x + 5) + -62 Combine like terms: 8x + -54x = -46x 11 + -46x = 3(4x + 5) + -62 Reorder the terms: 11 + -46x = 3(5 + 4x) + -62 11 + -46x = (5 * 3 + 4x * 3) + -62 11 + -46x = (15 + 12x) + -62 Reorder the terms: 11 + -46x = 15 + -62 + 12x Combine like terms: 15 + -62 = -47 11 + -46x = -47 + 12x Solving 11 + -46x = -47 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + -46x + -12x = -47 + 12x + -12x Combine like terms: -46x + -12x = -58x 11 + -58x = -47 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -58x = -47 + 0 11 + -58x = -47 Add '-11' to each side of the equation. 11 + -11 + -58x = -47 + -11 Combine like terms: 11 + -11 = 0 0 + -58x = -47 + -11 -58x = -47 + -11 Combine like terms: -47 + -11 = -58 -58x = -58 Divide each side by '-58'. x = 1 Simplifying x = 1
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