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Simplifying 6(8x + -7) + 2 = 9x + 4 Reorder the terms: 6(-7 + 8x) + 2 = 9x + 4 (-7 * 6 + 8x * 6) + 2 = 9x + 4 (-42 + 48x) + 2 = 9x + 4 Reorder the terms: -42 + 2 + 48x = 9x + 4 Combine like terms: -42 + 2 = -40 -40 + 48x = 9x + 4 Reorder the terms: -40 + 48x = 4 + 9x Solving -40 + 48x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -40 + 48x + -9x = 4 + 9x + -9x Combine like terms: 48x + -9x = 39x -40 + 39x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + 39x = 4 + 0 -40 + 39x = 4 Add '40' to each side of the equation. -40 + 40 + 39x = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 39x = 4 + 40 39x = 4 + 40 Combine like terms: 4 + 40 = 44 39x = 44 Divide each side by '39'. x = 1.128205128 Simplifying x = 1.128205128
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