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Simplifying 3.0 + 6.0 + 2(x + -3.0) = 3.0x + -67.0 + 6.0x Reorder the terms: 3.0 + 6.0 + 2(-3.0 + x) = 3.0x + -67.0 + 6.0x 3.0 + 6.0 + (-3.0 * 2 + x * 2) = 3.0x + -67.0 + 6.0x 3.0 + 6.0 + (-6 + 2x) = 3.0x + -67.0 + 6.0x Combine like terms: 3.0 + 6.0 = 9 9 + -6 + 2x = 3.0x + -67.0 + 6.0x Combine like terms: 9 + -6 = 3 3 + 2x = 3.0x + -67.0 + 6.0x Reorder the terms: 3 + 2x = -67.0 + 3.0x + 6.0x Combine like terms: 3.0x + 6.0x = 9x 3 + 2x = -67.0 + 9x Solving 3 + 2x = -67.0 + 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. 3 + 2x + -9x = -67.0 + 9x + -9x Combine like terms: 2x + -9x = -7x 3 + -7x = -67.0 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -7x = -67.0 + 0 3 + -7x = -67.0 Add '-3' to each side of the equation. 3 + -3 + -7x = -67.0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -67.0 + -3 -7x = -67.0 + -3 Combine like terms: -67.0 + -3 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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