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Simplifying 6(3x + -8) + -7 = 6(x + -4) + 53 Reorder the terms: 6(-8 + 3x) + -7 = 6(x + -4) + 53 (-8 * 6 + 3x * 6) + -7 = 6(x + -4) + 53 (-48 + 18x) + -7 = 6(x + -4) + 53 Reorder the terms: -48 + -7 + 18x = 6(x + -4) + 53 Combine like terms: -48 + -7 = -55 -55 + 18x = 6(x + -4) + 53 Reorder the terms: -55 + 18x = 6(-4 + x) + 53 -55 + 18x = (-4 * 6 + x * 6) + 53 -55 + 18x = (-24 + 6x) + 53 Reorder the terms: -55 + 18x = -24 + 53 + 6x Combine like terms: -24 + 53 = 29 -55 + 18x = 29 + 6x Solving -55 + 18x = 29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -55 + 18x + -6x = 29 + 6x + -6x Combine like terms: 18x + -6x = 12x -55 + 12x = 29 + 6x + -6x Combine like terms: 6x + -6x = 0 -55 + 12x = 29 + 0 -55 + 12x = 29 Add '55' to each side of the equation. -55 + 55 + 12x = 29 + 55 Combine like terms: -55 + 55 = 0 0 + 12x = 29 + 55 12x = 29 + 55 Combine like terms: 29 + 55 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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