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Simplifying 4(3x + -15) + 2 = 2x + 7 Reorder the terms: 4(-15 + 3x) + 2 = 2x + 7 (-15 * 4 + 3x * 4) + 2 = 2x + 7 (-60 + 12x) + 2 = 2x + 7 Reorder the terms: -60 + 2 + 12x = 2x + 7 Combine like terms: -60 + 2 = -58 -58 + 12x = 2x + 7 Reorder the terms: -58 + 12x = 7 + 2x Solving -58 + 12x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -58 + 12x + -2x = 7 + 2x + -2x Combine like terms: 12x + -2x = 10x -58 + 10x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -58 + 10x = 7 + 0 -58 + 10x = 7 Add '58' to each side of the equation. -58 + 58 + 10x = 7 + 58 Combine like terms: -58 + 58 = 0 0 + 10x = 7 + 58 10x = 7 + 58 Combine like terms: 7 + 58 = 65 10x = 65 Divide each side by '10'. x = 6.5 Simplifying x = 6.5
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