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Simplifying (5x + 3) * 2 = 4(2x + -3) * 2 Reorder the terms: (3 + 5x) * 2 = 4(2x + -3) * 2 Reorder the terms for easier multiplication: 2(3 + 5x) = 4(2x + -3) * 2 (3 * 2 + 5x * 2) = 4(2x + -3) * 2 (6 + 10x) = 4(2x + -3) * 2 Reorder the terms: 6 + 10x = 4(-3 + 2x) * 2 Reorder the terms for easier multiplication: 6 + 10x = 4 * 2(-3 + 2x) Multiply 4 * 2 6 + 10x = 8(-3 + 2x) 6 + 10x = (-3 * 8 + 2x * 8) 6 + 10x = (-24 + 16x) Solving 6 + 10x = -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. 6 + 10x + -16x = -24 + 16x + -16x Combine like terms: 10x + -16x = -6x 6 + -6x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 6 + -6x = -24 + 0 6 + -6x = -24 Add '-6' to each side of the equation. 6 + -6 + -6x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -24 + -6 -6x = -24 + -6 Combine like terms: -24 + -6 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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