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Simplifying 2(3 + -1x) * 15 = 8(4x + -5) + -7 Reorder the terms for easier multiplication: 2 * 15(3 + -1x) = 8(4x + -5) + -7 Multiply 2 * 15 30(3 + -1x) = 8(4x + -5) + -7 (3 * 30 + -1x * 30) = 8(4x + -5) + -7 (90 + -30x) = 8(4x + -5) + -7 Reorder the terms: 90 + -30x = 8(-5 + 4x) + -7 90 + -30x = (-5 * 8 + 4x * 8) + -7 90 + -30x = (-40 + 32x) + -7 Reorder the terms: 90 + -30x = -40 + -7 + 32x Combine like terms: -40 + -7 = -47 90 + -30x = -47 + 32x Solving 90 + -30x = -47 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 90 + -30x + -32x = -47 + 32x + -32x Combine like terms: -30x + -32x = -62x 90 + -62x = -47 + 32x + -32x Combine like terms: 32x + -32x = 0 90 + -62x = -47 + 0 90 + -62x = -47 Add '-90' to each side of the equation. 90 + -90 + -62x = -47 + -90 Combine like terms: 90 + -90 = 0 0 + -62x = -47 + -90 -62x = -47 + -90 Combine like terms: -47 + -90 = -137 -62x = -137 Divide each side by '-62'. x = 2.209677419 Simplifying x = 2.209677419
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