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Simplifying 14(4x + -6) + 6 = 24(2x + 2) Reorder the terms: 14(-6 + 4x) + 6 = 24(2x + 2) (-6 * 14 + 4x * 14) + 6 = 24(2x + 2) (-84 + 56x) + 6 = 24(2x + 2) Reorder the terms: -84 + 6 + 56x = 24(2x + 2) Combine like terms: -84 + 6 = -78 -78 + 56x = 24(2x + 2) Reorder the terms: -78 + 56x = 24(2 + 2x) -78 + 56x = (2 * 24 + 2x * 24) -78 + 56x = (48 + 48x) Solving -78 + 56x = 48 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -78 + 56x + -48x = 48 + 48x + -48x Combine like terms: 56x + -48x = 8x -78 + 8x = 48 + 48x + -48x Combine like terms: 48x + -48x = 0 -78 + 8x = 48 + 0 -78 + 8x = 48 Add '78' to each side of the equation. -78 + 78 + 8x = 48 + 78 Combine like terms: -78 + 78 = 0 0 + 8x = 48 + 78 8x = 48 + 78 Combine like terms: 48 + 78 = 126 8x = 126 Divide each side by '8'. x = 15.75 Simplifying x = 15.75
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