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Simplifying 5(3x + 2) + -2 = 4(4x + -30) Reorder the terms: 5(2 + 3x) + -2 = 4(4x + -30) (2 * 5 + 3x * 5) + -2 = 4(4x + -30) (10 + 15x) + -2 = 4(4x + -30) Reorder the terms: 10 + -2 + 15x = 4(4x + -30) Combine like terms: 10 + -2 = 8 8 + 15x = 4(4x + -30) Reorder the terms: 8 + 15x = 4(-30 + 4x) 8 + 15x = (-30 * 4 + 4x * 4) 8 + 15x = (-120 + 16x) Solving 8 + 15x = -120 + 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. 8 + 15x + -16x = -120 + 16x + -16x Combine like terms: 15x + -16x = -1x 8 + -1x = -120 + 16x + -16x Combine like terms: 16x + -16x = 0 8 + -1x = -120 + 0 8 + -1x = -120 Add '-8' to each side of the equation. 8 + -8 + -1x = -120 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -120 + -8 -1x = -120 + -8 Combine like terms: -120 + -8 = -128 -1x = -128 Divide each side by '-1'. x = 128 Simplifying x = 128
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