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Simplifying 7 + 4x = 2(-1x + -2) + -5(6x + 4) Reorder the terms: 7 + 4x = 2(-2 + -1x) + -5(6x + 4) 7 + 4x = (-2 * 2 + -1x * 2) + -5(6x + 4) 7 + 4x = (-4 + -2x) + -5(6x + 4) Reorder the terms: 7 + 4x = -4 + -2x + -5(4 + 6x) 7 + 4x = -4 + -2x + (4 * -5 + 6x * -5) 7 + 4x = -4 + -2x + (-20 + -30x) Reorder the terms: 7 + 4x = -4 + -20 + -2x + -30x Combine like terms: -4 + -20 = -24 7 + 4x = -24 + -2x + -30x Combine like terms: -2x + -30x = -32x 7 + 4x = -24 + -32x Solving 7 + 4x = -24 + -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. 7 + 4x + 32x = -24 + -32x + 32x Combine like terms: 4x + 32x = 36x 7 + 36x = -24 + -32x + 32x Combine like terms: -32x + 32x = 0 7 + 36x = -24 + 0 7 + 36x = -24 Add '-7' to each side of the equation. 7 + -7 + 36x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 36x = -24 + -7 36x = -24 + -7 Combine like terms: -24 + -7 = -31 36x = -31 Divide each side by '36'. x = -0.8611111111 Simplifying x = -0.8611111111
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