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Simplifying 6(2x + -9) + 1 = 6(3x + -7) + -8(x + 2) Reorder the terms: 6(-9 + 2x) + 1 = 6(3x + -7) + -8(x + 2) (-9 * 6 + 2x * 6) + 1 = 6(3x + -7) + -8(x + 2) (-54 + 12x) + 1 = 6(3x + -7) + -8(x + 2) Reorder the terms: -54 + 1 + 12x = 6(3x + -7) + -8(x + 2) Combine like terms: -54 + 1 = -53 -53 + 12x = 6(3x + -7) + -8(x + 2) Reorder the terms: -53 + 12x = 6(-7 + 3x) + -8(x + 2) -53 + 12x = (-7 * 6 + 3x * 6) + -8(x + 2) -53 + 12x = (-42 + 18x) + -8(x + 2) Reorder the terms: -53 + 12x = -42 + 18x + -8(2 + x) -53 + 12x = -42 + 18x + (2 * -8 + x * -8) -53 + 12x = -42 + 18x + (-16 + -8x) Reorder the terms: -53 + 12x = -42 + -16 + 18x + -8x Combine like terms: -42 + -16 = -58 -53 + 12x = -58 + 18x + -8x Combine like terms: 18x + -8x = 10x -53 + 12x = -58 + 10x Solving -53 + 12x = -58 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -53 + 12x + -10x = -58 + 10x + -10x Combine like terms: 12x + -10x = 2x -53 + 2x = -58 + 10x + -10x Combine like terms: 10x + -10x = 0 -53 + 2x = -58 + 0 -53 + 2x = -58 Add '53' to each side of the equation. -53 + 53 + 2x = -58 + 53 Combine like terms: -53 + 53 = 0 0 + 2x = -58 + 53 2x = -58 + 53 Combine like terms: -58 + 53 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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