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Simplifying 4[3 + -3(x + 1)] = 2(-19 + -9) + 2x + 19 Reorder the terms: 4[3 + -3(1 + x)] = 2(-19 + -9) + 2x + 19 4[3 + (1 * -3 + x * -3)] = 2(-19 + -9) + 2x + 19 4[3 + (-3 + -3x)] = 2(-19 + -9) + 2x + 19 Combine like terms: 3 + -3 = 0 4[0 + -3x] = 2(-19 + -9) + 2x + 19 4[-3x] = 2(-19 + -9) + 2x + 19 Remove brackets around [-3x] 4 * -3x = 2(-19 + -9) + 2x + 19 Multiply 4 * -3 -12x = 2(-19 + -9) + 2x + 19 Combine like terms: -19 + -9 = -28 -12x = 2(-28) + 2x + 19 Multiply 2 * -28 -12x = -56 + 2x + 19 Reorder the terms: -12x = -56 + 19 + 2x Combine like terms: -56 + 19 = -37 -12x = -37 + 2x Solving -12x = -37 + 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. -12x + -2x = -37 + 2x + -2x Combine like terms: -12x + -2x = -14x -14x = -37 + 2x + -2x Combine like terms: 2x + -2x = 0 -14x = -37 + 0 -14x = -37 Divide each side by '-14'. x = 2.642857143 Simplifying x = 2.642857143
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