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Simplifying 5(2x + -7) + 14 = 6(8 + -3x) + 15 Reorder the terms: 5(-7 + 2x) + 14 = 6(8 + -3x) + 15 (-7 * 5 + 2x * 5) + 14 = 6(8 + -3x) + 15 (-35 + 10x) + 14 = 6(8 + -3x) + 15 Reorder the terms: -35 + 14 + 10x = 6(8 + -3x) + 15 Combine like terms: -35 + 14 = -21 -21 + 10x = 6(8 + -3x) + 15 -21 + 10x = (8 * 6 + -3x * 6) + 15 -21 + 10x = (48 + -18x) + 15 Reorder the terms: -21 + 10x = 48 + 15 + -18x Combine like terms: 48 + 15 = 63 -21 + 10x = 63 + -18x Solving -21 + 10x = 63 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -21 + 10x + 18x = 63 + -18x + 18x Combine like terms: 10x + 18x = 28x -21 + 28x = 63 + -18x + 18x Combine like terms: -18x + 18x = 0 -21 + 28x = 63 + 0 -21 + 28x = 63 Add '21' to each side of the equation. -21 + 21 + 28x = 63 + 21 Combine like terms: -21 + 21 = 0 0 + 28x = 63 + 21 28x = 63 + 21 Combine like terms: 63 + 21 = 84 28x = 84 Divide each side by '28'. x = 3 Simplifying x = 3
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