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Simplifying 3(2)(x + -20) + -15x + -45 = 10x + 20 Reorder the terms: 3 * 2(-20 + x) + -15x + -45 = 10x + 20 Multiply 3 * 2 6(-20 + x) + -15x + -45 = 10x + 20 (-20 * 6 + x * 6) + -15x + -45 = 10x + 20 (-120 + 6x) + -15x + -45 = 10x + 20 Reorder the terms: -120 + -45 + 6x + -15x = 10x + 20 Combine like terms: -120 + -45 = -165 -165 + 6x + -15x = 10x + 20 Combine like terms: 6x + -15x = -9x -165 + -9x = 10x + 20 Reorder the terms: -165 + -9x = 20 + 10x Solving -165 + -9x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -165 + -9x + -10x = 20 + 10x + -10x Combine like terms: -9x + -10x = -19x -165 + -19x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -165 + -19x = 20 + 0 -165 + -19x = 20 Add '165' to each side of the equation. -165 + 165 + -19x = 20 + 165 Combine like terms: -165 + 165 = 0 0 + -19x = 20 + 165 -19x = 20 + 165 Combine like terms: 20 + 165 = 185 -19x = 185 Divide each side by '-19'. x = -9.736842105 Simplifying x = -9.736842105
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