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Simplifying 4x + 2x + 7 = 8(6 + -9x) + 15 Reorder the terms: 7 + 4x + 2x = 8(6 + -9x) + 15 Combine like terms: 4x + 2x = 6x 7 + 6x = 8(6 + -9x) + 15 7 + 6x = (6 * 8 + -9x * 8) + 15 7 + 6x = (48 + -72x) + 15 Reorder the terms: 7 + 6x = 48 + 15 + -72x Combine like terms: 48 + 15 = 63 7 + 6x = 63 + -72x Solving 7 + 6x = 63 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. 7 + 6x + 72x = 63 + -72x + 72x Combine like terms: 6x + 72x = 78x 7 + 78x = 63 + -72x + 72x Combine like terms: -72x + 72x = 0 7 + 78x = 63 + 0 7 + 78x = 63 Add '-7' to each side of the equation. 7 + -7 + 78x = 63 + -7 Combine like terms: 7 + -7 = 0 0 + 78x = 63 + -7 78x = 63 + -7 Combine like terms: 63 + -7 = 56 78x = 56 Divide each side by '78'. x = 0.7179487179 Simplifying x = 0.7179487179
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