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Simplifying 5(2x + -7) + 14 = 6(8 + -3x) * 151 Reorder the terms: 5(-7 + 2x) + 14 = 6(8 + -3x) * 151 (-7 * 5 + 2x * 5) + 14 = 6(8 + -3x) * 151 (-35 + 10x) + 14 = 6(8 + -3x) * 151 Reorder the terms: -35 + 14 + 10x = 6(8 + -3x) * 151 Combine like terms: -35 + 14 = -21 -21 + 10x = 6(8 + -3x) * 151 Reorder the terms for easier multiplication: -21 + 10x = 6 * 151(8 + -3x) Multiply 6 * 151 -21 + 10x = 906(8 + -3x) -21 + 10x = (8 * 906 + -3x * 906) -21 + 10x = (7248 + -2718x) Solving -21 + 10x = 7248 + -2718x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2718x' to each side of the equation. -21 + 10x + 2718x = 7248 + -2718x + 2718x Combine like terms: 10x + 2718x = 2728x -21 + 2728x = 7248 + -2718x + 2718x Combine like terms: -2718x + 2718x = 0 -21 + 2728x = 7248 + 0 -21 + 2728x = 7248 Add '21' to each side of the equation. -21 + 21 + 2728x = 7248 + 21 Combine like terms: -21 + 21 = 0 0 + 2728x = 7248 + 21 2728x = 7248 + 21 Combine like terms: 7248 + 21 = 7269 2728x = 7269 Divide each side by '2728'. x = 2.664589443 Simplifying x = 2.664589443
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