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Simplifying 0.6(15x + 30) + -14 = 2(8x + -12) Reorder the terms: 0.6(30 + 15x) + -14 = 2(8x + -12) (30 * 0.6 + 15x * 0.6) + -14 = 2(8x + -12) (18 + 9x) + -14 = 2(8x + -12) Reorder the terms: 18 + -14 + 9x = 2(8x + -12) Combine like terms: 18 + -14 = 4 4 + 9x = 2(8x + -12) Reorder the terms: 4 + 9x = 2(-12 + 8x) 4 + 9x = (-12 * 2 + 8x * 2) 4 + 9x = (-24 + 16x) Solving 4 + 9x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 4 + 9x + -16x = -24 + 16x + -16x Combine like terms: 9x + -16x = -7x 4 + -7x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 4 + -7x = -24 + 0 4 + -7x = -24 Add '-4' to each side of the equation. 4 + -4 + -7x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -24 + -4 -7x = -24 + -4 Combine like terms: -24 + -4 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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