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Simplifying 4(3x + 1.5) + -2x = 5x + -2(2x + -30) Reorder the terms: 4(1.5 + 3x) + -2x = 5x + -2(2x + -30) (1.5 * 4 + 3x * 4) + -2x = 5x + -2(2x + -30) (6 + 12x) + -2x = 5x + -2(2x + -30) Combine like terms: 12x + -2x = 10x 6 + 10x = 5x + -2(2x + -30) Reorder the terms: 6 + 10x = 5x + -2(-30 + 2x) 6 + 10x = 5x + (-30 * -2 + 2x * -2) 6 + 10x = 5x + (60 + -4x) Reorder the terms: 6 + 10x = 60 + 5x + -4x Combine like terms: 5x + -4x = 1x 6 + 10x = 60 + 1x Solving 6 + 10x = 60 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 10x + -1x = 60 + 1x + -1x Combine like terms: 10x + -1x = 9x 6 + 9x = 60 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 9x = 60 + 0 6 + 9x = 60 Add '-6' to each side of the equation. 6 + -6 + 9x = 60 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 60 + -6 9x = 60 + -6 Combine like terms: 60 + -6 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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